Geodesic Equations¶
Geodesic equations — symbolic generation of equations of motion.
- class gravica.geodesic.GeodesicEquations(equations, velocities, accelerations)¶
Bases:
tuple- accelerations¶
Alias for field number 2
- equations¶
Alias for field number 0
- velocities¶
Alias for field number 1
- gravica.geodesic.geodesic_equations(christoffel)¶
Generate the geodesic equations for the given spacetime.
\[\frac{d^2 x^a}{d\tau^2} + \Gamma^a_{\ bc}\,\frac{dx^b}{d\tau}\,\frac{dx^c}{d\tau} = 0\]Returns the left-hand side for each coordinate as a
GeodesicEquationsnamedtuple(equations, velocities, accelerations).Velocity symbols are named
d<coord>_(e.g.dt_,dr_) and acceleration symbolsdd<coord>_(e.g.ddt_,ddr_).- Return type: