Isochronous derivatives and universal formulas of Lagrange multipliers on Keplerian motion
Abstract
In the present paper, formulas for the isochronous derivatives and conjugate variables of an optimization problem are derived by introducing Lagrangian elements. The formulas are shown to be well suited for analyzing elliptic, hyperbolic, and circular orbits.
- Publication:
-
Leningradskii Universitet Vestnik Matematika Mekhanika Astronomiia
- Pub Date:
- January 1980
- Bibcode:
- 1980VeLen.......91N
- Keywords:
-
- Astrodynamics;
- Kepler Laws;
- Lagrange Multipliers;
- Trajectory Optimization;
- Circular Orbits;
- Elliptical Orbits;
- Optimization;
- Astrodynamics