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A solution to a cubic – Barker's equation for parabolic trajectories

Published online by Cambridge University Press:  01 August 2016

Alex Pathan  and
Tony Collyer
Alex Pathan
Affiliation:
45 Hutcliffe Wood Road, Sheffield, S8 0EY
Tony Collyer
Affiliation:
45 Hutcliffe Wood Road, Sheffield, S8 0EY
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Extract

Except for the circle, for which the true anomaly v is proportional to the time t, the position of a body in orbit about a central body at a given time is simplest to derive for a parabola. The classical determination of the time of flight on a parabolic trajectory is through the integration of the dynamic equations of motion. (See Appendix.)

Type
Articles
Information
The Mathematical Gazette , Volume 90 , Issue 519 , November 2006 , pp. 398 - 403
Copyright
Copyright © The Mathematical Association 2006

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References

1. Battin, R.H., An introduction to the mathematics and methods of astrodynamics (AIAA. Education Series) (1987) pp. 250–254.Google Scholar