Abstract
We now consider techniques used in the study of the controlled flight paths of human-made vehicles, beginning with algorithms for propagating the spacecraft’s trajectory and then defining Keplerian parameters, which describe the orbit’s size, shape, and orientation. Lambert’s Problem is used to generate mission design curves, called “pork chop plots.” Other models advance our study to treat n bodies and distributed masses instead of just two point masses. Lastly, we consider how to measure time, which is fundamental to the equations of motion.
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- 1.
Johann Heinrich Lambert (1728–1777), a German mathematician, proved that π is irrational and introduced hyperbolic functions (sinh, cosh, tanh, csch, sech, coth). When asked by Frederick II in which science he was most proficient, Lambert replied “All.”
- 2.
Carl Friedrich Gauss (1777–1855) was born in Brunswick, Germany. He taught himself to read and to calculate before he was 3 years old. A list of Gauss’ contributions to mathematics and mathematical physics is almost endless. By the time of his death at the age of 78, his contemporaries hailed him as the “Prince of Mathematicians.” For more information about Gauss, see the reference:
Eric Temple Bell, “The Prince of Mathematicians,” The World of Mathematics, Vol. 1, Part II, Chapter 11, pp. 291-332, Tempus Books, 1988.
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Hintz, G.R. (2015). Techniques of Astrodynamics. In: Orbital Mechanics and Astrodynamics. Springer, Cham. https://doi.org/10.1007/978-3-319-09444-1_4
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DOI: https://doi.org/10.1007/978-3-319-09444-1_4
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-09443-4
Online ISBN: 978-3-319-09444-1
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