LAST'S CONSTANTS And GENERAL LAW
1) Length of the Moon's shadow is equal to the distance of the Moon from the Sun divided by the constant 399.64814
2) Length of the Earth's shadow is equal to the distance of the Earth from the Sun divided by the constant 108.29831
3) Length of an object's shadow is equal to the distance of the object from the Sun, divided by the difference of the Sun's radius minus the objects radius, times the objects radius.
Constant #1 immediately determines whether a central solar Eclipse will be Total or Annular
Constant #2 determines if a Near Earth Asteroid can be eclipsed by the Earth's shadow. Also helpful in detection, orbits, distance and size of object.
General rule allows for detection, orbits, distance and size of objects eclipsed by any object either in our Solar System or any non solar object in other systems.
General rule also detects Black Holes by the shadow of the vortex they create.