Astrodynamics degree

1 / 6. ︎. Computation has become an essential tool in theoretical astrophysics modeling, and Princeton is a world leader in the development and application of numerical methods in astrophysics. Researchers at Princeton use scientific computation to study an enormous range of physical processes. At the largest scales, N-body, …

Astrodynamics degree. United States Astrophysics Best Astrophysics colleges in the U.S. for 2023 University of California-Berkeley Berkeley, CA University of California-Berkeley offers 3 Astrophysics degree programs. It's a very large, public, four-year university in a midsize city.

Dr. Yang Yang is an astrodynamics expert specialising in space navigation and space situational awareness. His research focuses on the application of emerging space technologies in our daily lives, with a particular emphasis on fostering a safer, more secure, and sustainable space environment for humanity. Completing his PhD in Space ...

A brief description of the Space Station system and of its original features is given. Some astrodynamics problems are considered in more detail, concerning attitude motion (modelling, attitude determination and control, tether applications), as well as orbital motion (transfer, docking, navigation/positioning/guidance, collision hazards, data ...Caoqun Luo received his bachelor degree from Nanjing University of Aeronautics and Astronautics, in 2015. Currently, he is a Ph.D. candidate from Nanjing University of Aeronautics and Astronautics majoring in dynamics and control. His current research interests are deployment, retrieval of space tether, and deorbit of space debris.The School of Aeronautics and Astronautics, through Purdue University's Engineering Professional Education program, is offering graduate level courses in aerospace engineering so that students can earn non-thesis MS degrees in Aeronautics and Astronautics entirely via distance learning courses. To pursue a non-thesis MS AAE degree, students ...This work develops a deep reinforcement learning based approach for Six Degree-of-Freedom (DOF) planetary powered descent and landing. Future Mars missions will require advanced guidance ...General Education - 12 credits. From list approved by department. Must include U.S. Diversity (3 credits) and International Perspective (3 credits) requirement. Two semester sequence in a single foreign language may be applied per ISU Foreign Language Requirements. Aerospace Engineering - 51 credits in 8 areas of study.All degree requirements must be completed within four years of the date of commencing coursework. Most students complete the degree in approximately two years. Astrodynamics and Satellite Navigation Systems (ASN) Requirements of the MS degree in the Astrodynamics and Satellite Navigation Systems focus area are: Three ASN Core ClassesAstrodynamics. ¶. This module provides functions to convert between different representations of orbital coordinates. As well as functions to compute properties of the orbits themselves. brahe.astro. anm_eccentric_to_mean (E: float, e: float, use_degrees: bool = False) → float ¶. Convert eccentric anomaly into mean anomaly.1 Chapter 1 – Orbital Basics. 1. Chapter 1 – Orbital Basics. Welcome to Chapter 1! In this chapter we will investigate the basis for satellite motion. We will start with a brief history of some individuals who helped us initially understand the reason objects in space, including planets, move the way they do.

Astrodynamics and Orbital Operations: 3 credits: K. Ernandes: Tuition Cost Estimate. The IIAS Astronautical Science Credential is designed to be completed in 18-24 months of study. Graduates of AST 101 are eligible to be accepted for candidacy and will consult with their faculty advisor in order to select their concentrations of study by 15 ...Our Spring 2020 intro to astrodynamics/orbital mechanics tutorial. No prior astrodynamics or advanced aerospace coursework necessary! Learn the basics of a...AE at Illinois offers graduate programs leading to the degrees of Master of Science (MS) and Doctor of Philosophy (PhD) in Aerospace Engineering (AE) and a Master of Engineering (MEng) with a concentration in Aerospace Systems Engineering. ... astrodynamics, combustion and propulsion, control systems, dynamical systems, fluid …About. Space mission design and trajectory analyst - an experienced professional with extensive background in the launch vehicle and spacecraft industry. • Astrodynamics degrees – B.S. and M ...It is essentially a specialization of the Aerospace Engineering Sciences Master of Science (MS) degree in the ASN focus area with additional requirements for breadth and depth in the ASN area. The certificate will make you more desirable to future employers looking astrodynamics and satellite navigation specialists. Certificate RequirementsJohn Iannamorelli graduated from Purdue University in 2022 with a degree in Aeronautical and Astronautical Engineering with a specialization in Astrodynamics and Space Applications. In his undergraduate career, he conducted research in the field of Computational Particle Mechanics under Prof. Marcial Gonzalez in an effort to characterize the explosive tendencies of energetic materials under ...Astrodynamics. Menu. More Info Syllabus Lecture Notes Assignments Lecture Notes. Effect of J2 on a satellite orbit of the Earth. Description: Lecture notes on variational equations using the disturbing function, Lagrange's planetary equations, effect of the second dynamic form factor term on satellite orbits, averaged variational equations ...

Aerospace graduate students often formulate degree plans on the basis of their interests and needs. Portions of the program are designed to promote our students' engineering and professional development. Graduate students are admitted into a specific focus area that provides research advising and financial support, and sets specialized admissionAbstract The article provides a generalized retrospective of creating global models of the Earth’s gravity field using satellite methods and modern global ultra-high-degree models; the most promising new solutions are considered. The main attention is given to reviewing techniques that affect the resolution of satellite methods, their …The Space Systems Engineering degree is a joint program offered by USU's Mechanical and Aerospace Engineering and Electrical and Computer Engineering departments. This program is designed for students with a bachelor's degree in a STEM field who have a passion for space and engineering topics. The program is offered in-person at the USU ...Discussion of more advanced concepts in astrodynamics. Includes fundamental theories from celestial mechanics, resonance, dynamical systems theory and numerical methods with application to the motion in multi-body regimes and interplanetary spacecraft under the simultaneous influence of multiple gravitational bodies. Assumes experience with the two …142 Astrodynamics jobs available on Indeed.com. Apply to Analyst, Operations Associate, Product Designer and more!

Bill self awards.

A dedicated aerospace building. We have a 180,000-square-foot aerospace engineering sciences building providing world-class learning and research space. Completed in 2019, it contains unique laboratory facilities, collaborative research environments, and immersive educational opportunities. Colorado is a hub of our nation's aerospace industry ...10 thg 11, 2012 ... Astrodynamics exists at the interface between physics, astronomy ... first such degree in the US. • The first Astrodynamics Specialist ...The Astrodynamics Research Group of Penn State (ARGoPS) is a research lab associated with Penn State's aerospace engineering department. Established in 2017, ARGoPS was formed to strengthen and exhibit the collaborative astrodynamics research environment that Penn State has to offer. Research areas include all of astrodynamics, such as ...Degree Master of Science Language English Location Leiden Students 118 Croho code 60200 Faculty Science Duration 2 years Mode of study Full-time Start September, February. Events. 16 Feb . Study information Master's Open Days. More events. Check out our events and videos! Here you ...The Aeronautics and Astronautics curriculum emphasizes the disciplines of aerodynamics, aerospace systems, astrodynamics and space applications, propulsion, structures and materials, dynamics and control, and further provides courses that integrate these disciplines into the design of flight vehicles to perform the required mission.

Therefore in the current orbital determination process, any errors caused by the omission of high-degree and high-order gravity terms will be nonphysically ...Starting with the understanding of how measurements are collected and processed, astrodynamics specific to the space around the earth inhabited by the vast majority of all operational satellites. The class introduces the challenges of sparse data per object, initializing orbits without a priori information and how to maintain custody of objects in the highly non-linear fastly changing orbital ...Astronautics (or cosmonautics) is the practice of traveling beyond Earth's atmosphere into outer space. Spaceflight is one of its main applications and space science is its overarching field. The term astronautics (originally astronautique in French) was coined in the 1920s by J.-H. Rosny, president of the Goncourt academy, in analogy with ...Dr. Roshan Eapen is an Assistant Professor of Aerospace engineering at the Pennsylvania State University (PSU). He received his bachelor’s degree in Aerospace Engineering from Karunya University, Coimbatore, India in 2014, earned his MS in Aeronautics and Astronautics from Purdue University, West Lafayette, Indiana in 2017, and his Ph.D. in ...A bachelors degree from the American University of Cairo with 3.0 GPA or a B overall. For courses that require a UK 2:2, you must complete one of the following: A bachelors degree from a recognised institution with 70% or GPA 2.8 overall; A bachelors degree from the American University of Cairo with 2.7 GPA or a C overall.Astrodynamics is a Novice Science Skill. It increases the Grav Drive range of ships. Astrodynamics is very easy to level, as the player is usually jumping all over the Settled Systems. It does not require any special gameplay choices by the player to level. Astrodynamics could best be summed up as "nice to have." Its impact is that a player gains access to distant systems earlier in the game ...In one year, there are 31,536,000 seconds. Multiplying the speed of light by the number of seconds in a year gives us the distance traveled by light in one year, which is 9,460,000,000,000 km. Therefore, the statement is true. Rate this question: 20 0. 7.8: Calculating relative position of the nodes, and the material force is obtained by the spring damping model F k c = N l * δ, where N denotes the stiffness matrix, l denotes the distance between two nodes, δ denotes the degree of freedom of the beam. 9: end if 10: The total force F t o t a l acting on the current node is obtained by summing ...

Online MS Degree Program Tracks The Aerospace Engineering Department is organized around three technical divisions based on research and academic interests. These divisions are: 1) Aerodynamics, Fluid Mechanics, Combustion and Propulsion (AFMCP); 2) Astrodynamics, Controls and Dynamical Systems (ACDS); and 3) Structural Mechanics and Materials ...

Bachelor's degree in Aerospace Engineering or closely related discipline. A student with an undergraduate degree outside of the selected departmental discipline may also be required to satisfy an articulation program. ... EAS6507 - Topics of Astrodynamics (3) EAS5407C - Mechatronic Systems (3) EAS6405 - Advanced Flight Dynamics (3) EAS6414 ...79 astrodynamics engineer jobs available. See salaries, compare reviews, easily apply, and get hired. New astrodynamics engineer careers are added daily on SimplyHired.com. The low-stress way to find your next astrodynamics engineer job opportunity is on SimplyHired. There are over 79 astrodynamics engineer careers waiting for you to apply!Space Systems Engineering Master's Degree Program. As a student in the online space systems engineering degree program, you'll learn from top subject-matter experts and practitioners from across the space community, including the Johns Hopkins University Applied Physics Lab. Delve deeper into the aerospace industry and study under professors and mentors who are involved with the New ...Rob Gitten: Rob received two degrees from U-M: a BSE in Aerospace Engineering in 2017; and a MEng in Space Engineering in 2018. Rob is currently working as a Systems Engineer at Blue Origin. Contact: [email protected]. Rory Hourihan: Rory received his BS in Mechanical and Aerospace Engineering from the University of Missouri in 2016 ...The aerodynamics degree prepares you for a career in the aerospace or Formula 1 industries. Aeronautics and Astronautics looks at the science, engineering and manufacture of aircraft and spacecraft. You'll learn how they operate within our atmosphere and in space. On this aerodynamics course, you'll focus on vehicles, wings and propulsion ...Introduction. The purpose of this document is to help you plan your undergraduate Aeronautics and Astronautics (BSAAE) degree program. The basic requirements for the Bachelor of Science (BS) degree are separated into four different categories of courses: The order and speed at which you complete the degree requirements is your choice, provided ...Jan 29, 2017 · The differences between the two are subtle, but they were enough for many of my peers to be disgruntled by the fact that the diploma awarded to students who completed an astronomy track and an ... 1 / 6. ︎. Computation has become an essential tool in theoretical astrophysics modeling, and Princeton is a world leader in the development and application of numerical methods in astrophysics. Researchers at Princeton use scientific computation to study an enormous range of physical processes. At the largest scales, N-body, hydrodynamic, and ...Associate degree (1) Bachelor's degree (9) Master's degree (11) Doctoral degree (2) Upload your resume - Let employers find you level programmer jobs in Colorado Springs, CO. ... Omitron develops and maintains multiple sets of astrodynamics software used to track objects in Earth orbit.

Www.kuathletics.com football.

Rick and morty season 6 episode 7 watch online 123movies.

Unit 1: Foundations of Astrodynamics Spaceflight mechanics may seem like a new and exciting field, tied to cutting-edge innovations in technology, but the fundamentals of spaceflight are also the fundamentals of classical mechanics, both of which use the common language of vectorial analysis.4. Graduate students who wish to apply for a Masters in Passing degree must have completed a full 7 courses at Harvard for letter-grade credit as stipulated in the PhD requirements that appear earlier on this page. Grading Rubric Below is the grading rubric for graduate courses in the Department of Astronomy.Description. The Science, Mathematics And Research for Transformation (SMART) Scholarship for Service Program is an opportunity for students pursuing an undergraduate or graduate degree in Science, Technology, Engineering, and Mathematics (STEM) disciplines to receive a full scholarship and be gainfully employed upon degree completion.: Award. Full tuition and education related fees (does not ...Astrodynamics is the study of objects moving in space. Well technically the broader definition is called Celestial Mechanics, but the branch that focuses on how spacecrafts and other small objects move in space is called Astrodynamics. ... Based in Utah, I got a Bachelors of Science Degree in Mechanical Engineering from the University of Utah ...Located in the heart of Florida’s Space Coast near Kennedy Space Center, Florida Tech was founded in support of the space program, and since 1958 has offered students a comprehensive aerospace and aeronautics education. The aerospace engineering master’s program prepares students for a challenging professional career or for further graduate ...Our Astronauts. Aerogram: Fall 2022 / Winter 2023. Aerogram: Fall 2021. Aerogram: Fall 2020. More Aerogram Issues. The Purdue School of Aeronautics and Astronautics is a top-ranked program providing aerospace engineering education, research and innovative learning experiences.Discussion of more advanced concepts in astrodynamics. Includes fundamental theories from celestial mechanics, resonance, dynamical systems theory and numerical methods with application to the motion in multi-body regimes and interplanetary spacecraft under the simultaneous influence of multiple gravitational bodies. Assumes experience with the two-body problem.In the figure below, the black axis would be the coordinate frame, with the unit vectors, , and each 90 degrees apart. A Right-Handed Coordinate Frame. A right-handed coordinate frame is one in which the third axis, in our case, ... As part of a first astrodynamics class, the author often uses 3-D orbit visualization tools. A custom-designed ...The Aeronautics and Astronautics curriculum emphasizes the disciplines of aerodynamics, aerospace systems, astrodynamics and space applications, propulsion, structures and materials, dynamics and control, and further provides courses that integrate these disciplines into the design of flight vehicles to perform the required mission.670 likes | 992 Views. A Brief Introduction to Astrodynamics. Shaun Gorman Iowa State University Ames, Iowa. Topics Discussed. Coordinate Systems Orbital Geometry Classical Orbital Elements Classes of Orbits Two-line Element Sets. Coordinate Systems. Heliocentric-Ecliptic Coordinate System.Degree Overview. The program is designed to provide students with a solid foundation in the fundamentals of Aerospace Engineering by requiring at least one core course in each of the three branches of Aerospace Engineering (Fluid Mechanics, Solid Mechanics and Materials, Dynamics and Controls) as well as one course in mathematics. ….

A plane change of 60°, with an I s p of 300, would require over 90% of the spacecraft mass to be propellant. This is why plane changes are often described as very expensive maneuvers, that should be avoided whenever possible once a spacecraft is in orbit. Instead, plane changes should be accomplished during launch.Course Description. This course covers the fundamentals of astrodynamics, focusing on the two-body orbital initial-value and boundary-value problems with applications to space vehicle navigation and guidance for lunar and planetary missions, including both powered flight and midcourse maneuvers. Other topics include celestial mechanics, Kepler ...... Astrodynamics. Taking degree in Computer Mechanics and Astrodynamics students will get a certificate with name astronomer, whereas the Appendix will contain ...The degrees of a polygon, or the sum of its angles, depends on the number of sides the polygon has. The sum of the degrees of the angles of a polygon equals 180(n-2), where n equals the number of sides of the polygon.Astronomy students will focus on the problems of the universe and possible answers to them during their degree. With skills in mathematics and computers, graduates will often go on to work in laboratories and research roles. However, there is also the option to work in museums, observatories and teaching roles.Astrodynamics - The powered-descent landing (PDL) phase of the Tianwen-1 mission began with composite backshell—parachute (CBP) separation and ended with landing-rover touchdown. ... Xiangyu Huang received his B.S. degree and Ph.D. degree in aerospace engineering from Harbin Institute of Technology, Harbin, China, in 1999 and 2005 ...EuMAS - European Masters Course in Aeronautics and Space Technology. EuMAS is a two-year EU sponsored course under the umbrella of the EC/DG Culture Erasmus Mundus Programme for students from Europe and abroad. World-class education in the aerospace engineering field is provided by a consortium of 5 top European technical universities.Astrodynamics, Modeling, and Simulation Engineer - Experimental Space Programs (Lead, Senior, or Principal) ... Bachelor's Degree or higher from an accredited course of study in engineering ...Astrodynamics has been developed by extending the knowledge accumulated since the first recorded investigations into the motions of heavenly bodies. The outgrowth of civilian and military rocket system developments has led to the establishment and implementation of numerous space systems, related physical models, and astrodynamics theories, Astrodynamics degree, Obs 2 λ2= 40 (deg) l1=−126 (deg) h=3.059 (km) 2910. of the initial orbit determination for an object in a near-GEO orbit with 50 minutes between the. measurements. This corresponds to ≈ ..., Berkeley, CA. University of California-Berkeley offers 3 Astrophysics degree programs. It's a very large, public, four-year university in a midsize city. In 2020, 56 Astrophysics students graduated with students earning 50 Bachelor's degrees, 4 Master's degrees, and 2 Doctoral degrees. Based on 35 Reviews., In this paper, an electromagnetic docking system is proposed to mitigate these risks through robust, ultra-soft, propellant-free docking. Designed with reconfigurable self-assembly in mind, the ..., The 34-year-old Chavez suffered a pretty stunning upset loss, dropping a technical decision to unbeaten but totally unproven 30-year-old Mario Cazares on scores of 57-56, 57-56, and 59-54. Bad ..., In astrodynamics, the orbital eccentricity of an astronomical object is a dimensionless parameter that determines the amount by which its orbit around another body deviates from a perfect circle.A value of 0 is a circular orbit, values between 0 and 1 form an elliptic orbit, 1 is a parabolic escape orbit (or capture orbit), and greater than 1 is a hyperbola., A degree from an ABET-accredited engineering program; A passing score on the Fundamentals of Engineering (FE) exam; Relevant work experience typically at least 4 years; A passing score on the Professional Engineering (PE) exam. The initial FE exam can be taken after one earns a bachelor's degree. Engineers who pass this exam are commonly ..., It is essentially a specialization of the Aerospace Engineering Sciences Master of Science (MS) degree in the ASN focus area with additional requirements for breadth and depth in the ASN area. The certificate will make you more desirable to future employers looking astrodynamics and satellite navigation specialists. Certificate Requirements, All students in the Advanced Astrodynamics Concepts (AAC) research group are pursuing doctoral degrees. Prospective students are encouraged to send their applications to the Purdue University Graduate School and indicate their interest in AAC in the Essay or Statement of Purpose. Prospective AAC students typically take the following courses:, Unit 1: Foundations of Astrodynamics Spaceflight mechanics may seem like a new and exciting field, tied to cutting-edge innovations in technology, but the fundamentals of spaceflight are also the fundamentals of classical mechanics, both of which use the common language of vectorial analysis., It is a typical student study book: the knowledge of mathematics and mechanics required from the reader corresponds to that of students having a B.Sc. degree, and full derivations of the formulas ..., She received her bachelor's degree in aerospace engineering in May 2016 and ... Educational Research, Small Satellites, Astrodynamics, Orbital Mechanics, ..., Aerospace engineering is the branch of engineering that works in the design, development, testing and production of airborne objects such as aircraft, missiles, spacecraft, rocket propulsion systems and other related systems. Aerospace engineering can either fall into the categories of aeronautical engineering or astronautical engineering., A student holding an M.S. degree and pursuing the doctor of philosophy degree must complete at least 42 total credit hours, including the following requirements: at least 18 credit hours of lecture courses, at least 24 credit hours of MECH ENG 6099, at least 12 credit hours of course work in the MAE department, at least 3 credit hours of mathematics, statistics, or computer science (AERO ENG ..., Stresses the use of astronomical instruments and measuring techniques and includes the study and observation of the solar system, stars, and galaxies. 4 Credits. Lecture 3 hours. Lab 3 hours. Total 6 hours. 4 credits. PHY 150 Detailed Outline (VCCS Faculty & Staff Only) The course description above is common to all Virginia's Community Colleges., About. Space mission design and trajectory analyst - an experienced professional with extensive background in the launch vehicle and spacecraft industry. • Astrodynamics degrees – B.S. and M ..., Dual-Degree Programs. There is great overlap between the aerospace engineering and mechanical engineering curriculum. The first six semesters of the two degree programs are identical. Through proper selection of electives, students can earn dual mechanical engineering/aerospace engineering BS degrees with one semester of additional work., The space systems management program trains graduates to plan, design, build, integrate, test launch, operate, or manage all forms of space systems, subsystems, launch vehicles, spacecraft, payload, and ground systems. Florida Tech is a military-friendly university, and makes many degree programs such as this one available at military bases or ..., If however you are going into a graduate degree for astrodynamics and want to build a strong mathematical foundation, read and derive Battin. Fundamentals of Astrodynamics by Vallado - $100 - I have had this textbook recommended to me by friends and colleagues whom I hold in high regard. I have not read this textbook, simply due to to a ..., The MIT Astrodynamics, Space Robotics, and Controls Lab (ARCLab) works at the intersection of astrodynamics, autonomy, and controls to further space exploration. About ARCLab. Scroll to main body. People ARCLab is led by Prof. Richard Linares. Visit our members page to learn more about the group's graduate students, post-doctoral …, So now for the actual question. I want to get on track towards a degree that will allow me to work in the Astrodynamics field. From what I've researched on google, basic path is a degree in Mechanical Engineering, then specializing in Aerospace in Grad school, focusing on AstroDynamics? Would this be possible to do with an Applied Mathematics B ..., Astrodynamics Mathematics. I. Title. II. Series. TL1050.B35 1999 629.4'11 dc21 99-13266. 1-56347-342-9 ... Richard H. Battin received an S.B. degree in Electrical Engineering in 1945 and a Ph.D. in Applied Mathematics in 1951 both from the Massachusetts Institute of Technology. He retired in 1987 from The Charles Stark Draper Laboratory, Inc ..., Colorado State University - Pueblo. Located about 45 miles south of Colorado Spring, Colorado State University in Pueblo offers 2 bachelor's degree programs in engineering that are accredited by ABET. The Bachelor of Science in Engineering program with a mechatronics concentration covers areas of electrical engineering, mechanical engineering ..., Astrodynamics research focuses on orbital mechanics; space surveillance; aeronomy; estimation theory; trajectory design;optimal control in rarified atmospheres; rendezvous and relative motion guidance; and machine learning for guidance, navigation and control. One emphasis captures multiple aspects of the satellite drag problem, including ... , It was established under Secretary of the Navy George Bancroft. The Naval academy offers an array of STEM-based degree programs, including programs in aeronautics. The school of aerospace engineering offers two education paths which include astronautics and aeronautics. Astronautics introduces students to rocket propulsion and astrodynamics., Astrodynamics. ≡Astrodynamics. General information on the master's degree. Program. Master Thesis. Faculty. Partners. Contact us. Photo Gallery. Information about …, The two-year curriculum of the Master's degree can be tailored according to your own interests and capabilities. The wide range of options include the possibility to focus on observational astronomy, theoretical astronomy, astronomical instrumentation and informatics, as well as data science. Dutch Astronomy graduates in general, and Kapteyn ..., Astrodynamics, Modeling, and Simulation Engineer - Experimental Space Programs (Lead, Senior, or Principal) ... Bachelor's Degree or higher from an accredited course of study in engineering ..., We would like to show you a description here but the site won't allow us., In this post we'll go over the number behind that that forbidden region, the only constant of integration in the Circular Restricted 3-Body Problems, Jacobi's Constant. Note: this is an ongoing series on the CR3BP. If you want to get ahead on your own these are some good books on the material and astrodynamics in general ( Book 1, Book 2 ..., problem in Astrodynamics that intrigued, over the years, most famous mathematicians. Just like Kepler's equation, its solution is at the very heart of fundamental astrodynamical and space engineering questions (Rauh and Parisi 2014; Luo et al. 2011; Izzo 2006). Following thefundamentalworklaiddown,amongothers,byEuler,Lambert,LagrangeandGauss,the, Therefore in the current orbital determination process, any errors caused by the omission of high-degree and high-order gravity terms will be nonphysically ..., 8: Calculating relative position of the nodes, and the material force is obtained by the spring damping model F k c = N l * δ, where N denotes the stiffness matrix, l denotes the distance between two nodes, δ denotes the degree of freedom of the beam. 9: end if 10: The total force F t o t a l acting on the current node is obtained by summing ..., Examples of how to use "astrodynamics" in a sentence from the Cambridge Dictionary Labs