The rubber sheet analogy only works even for the orbits if you assume that the orbiting object tends to want to roll down hill in the dip made by the bowling ball.
Rubber sheet analogy fails to explain gravity.
It s often misused to show that mass warps spacetime 895.
Here we have 1 space like dimension and one time like dimension curved into 3d.
The ants walk forward.
Spacetime can be thought as a thin rubber sheet.
Just placing an object somewhere in that dip will result in it rolling down the slope towards the bowling ball.
On a flat rubber sheet a trained ant has no trouble walking in a straight line.
They both begin walking parallel to each other northward toward the one of the poles.
When a massive object creates a big depression in the sheet the ant which must walk where the sheet takes it finds its path changed warped dramatically.
Is there no gravity.
Let me try the ant analogy in a bit more detail.
But a ball rolls on a surface because gravity is pulling it down.
Since spacetime warping can be a difficult concept to understand and visualise an analogy is often used in physics education.
Imagine a 2d spherical shell embedded in 3d space.
Indeed physicists have known for ten years that a rubber sheet deformed by a central mass can never take on a shape that reproduces the gravitational effects of spacetime.
Two people are located side by side on the equator of this sphere.
In space it will follow a straight line and go over any hole on the surface.
The system has some qualitative features in common with gravity.
The dented rubber sheet done in earth s gravity is a not too bad analogy for newtonian gravity.
Explanation this comic refers to a common analogy used to explain how mass distorts space time a bowling ball resting on a sheet of rubber distorts the sheet due to its weight.
Since i read cosmos long ago i see the same analogy about the balls rolling on a rubber sheet used to explain how gravity works.
All analogies are flawed that s why they are analogies and not scientific theories.
The rubber sheet or trampoline analogy for gravity is flawed because it is not fully three dimensional as a real star and planets would be.
Figure 24 8 three dimensional analogy for spacetime.
The orange is curved space time.