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Two Body Simulation

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Two body at rest with respect to each other.

The Body follows straight line when placed in respective gravitational field. It implies that the attractive force is planar between two bodies.

Two bodies with dissimilar masses at rest with respect to each other.

It implies the acceleration of the body is inversely proportional to their inertial mass. Higher the mass less acceleration due to gravity.

Equal mass bodies moving relative to each other.

Equal Masses when placed, one at rest and other at motion. Due to gravitational attraction, planner force and the velocity makes the path curved.

Dissimilar massive bodies with one body moving with respect to the other.

Varying mass and one body with velocity, make the curve elongated as per the higher mass which tells the different orbits of the body around black hole.

Dissimilar massive bodies moving opposite to each other

With constant masses and both body at motion tells the path traced by the star system around black hole and its influence in the period of revolution.

Simulation 2 - Kerr Black Hole

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Constant radius of a body in vicinity of a 3-D Kerr Black Hole.

It tell when the body is in constant radius orbit with polar angular velocity at some polar angle the path around is forming bulged cylinder. Due to spin rate of the Black hole.

Closed orbit of a body in vicinity of a 3-D Kerr Black Hole.

In a closed orbit the path traced with zero polar angular moment but due to the spin rate of the black hole the path becomes cylinder.

Spiral capture orbit around a Kerr Black Hole.

When spin rate and polar angular momentum both are zero it becomes the spiral capture orbit, planar. But at large distance

Unstable circular capture orbit around a Kerr Black Hole.

When body comes loser after 4.4 Au it becomes the Circular capture orbit.

Escape orbit around a Kerr Black Hole.

When Black hole has spin rate and bodies’ angular momentum is negative the path becomes circular escape orbit.

Reverse and capture orbit around a Kerr Black Hole.

When the black hole is spinning and the body has negative angular momentum but when it comes in egrosphere it lands on black hole. Due to reversal of the orbits.

Whirl orbit around a Kerr Black Hole.

When body has positive angular momentum with positive polar angular momentum and spin rate of the black hole is also positive, the body whirl around black hole.

Simulation 3 -2D Black Hole

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2-D Black Hole with Varying Mass

the body with high angular momentum around black hole if the black hole is not massive enough would be revolving around the black hole unless the external parameters are changed.

2-D Black Hole with Varying angular Momentum

The 2D simulation is nearly same as the 3d- simulation projection. And for the capture orbit at certain mass of the black hole the degrading orbit becomes the capture orbit. But when the mass is kept constant and the momentum were varied in different directions it was observed that the degrading orbit is converting into closed or constant radius orbit. Depending on the momentum given.

Simulation 4 - Time Dilation

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Time Dilation

We simulated Schwarzschild black hole to demonstrate time dilation which suggest that the time dilation is proportional to angular momentum of the body and inversely proportional to the radius of orbit. So nearer the body more would be time dilation.

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