Article | REF: TRP4040 V1

Space Trajectories. Keplerian Motion

Author: Max CERF

Publication date: July 10, 2019, Review date: March 11, 2021

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2. First integrals

The two-body problem admits several first integrals, in particular those of angular momentum, energy and eccentricity vector.

A prime integral of a dynamic system is a quantity that remains constant over time. Knowledge of prime integrals enables us to delimit the possible evolutions of a system, even when no analytical solution exists.

2.1 Kinetic moment

The angular momentum per unit mass is h=rv where

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First integrals