Binet's equation for orbital shapes is obtained from basic infinitesimal displacements in Newtonian gravity and generalized to Schwarzschild-(anti-)de Sitter spacetimes, with discussion of the cosmological constant's effect on photon trajectories.
The choice of a rotating Cartesian system of coordinates (x, y) stems from the fact that they naturally allow for the distinction between a vertical and a horizontal direc- tion
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
gr-qc 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
The equation of Binet in classical and relativistic orbital mechanics
Binet's equation for orbital shapes is obtained from basic infinitesimal displacements in Newtonian gravity and generalized to Schwarzschild-(anti-)de Sitter spacetimes, with discussion of the cosmological constant's effect on photon trajectories.