- #1
Physics_Boi said:I thought that V was inversely proportional to time. This led me to substitute (1/V) as T into Kepler’s Law.
If you can get the eccentricity and then find the slope at the latus rectum, I suppose you could go that route. It seems cumbersome to me. (although I'm absolutely willing to be shown otherwise).Dewgale said:Gneill, is it not the case that, even after finding the tangent line to the ellipse at that point, one would need to use conservation of angular momentum to find the velocity at a later time? As such, I'm not sure saying it won't help is really accurate. There's just an intermediary step before finding the initial angular momentum.
Physics_Boi said:Yes, I used the relationship a^2 - b^2 = c^2 for an ellipse, where a is semi major axis length, b is semi minor axis length, and c is focal length. I knew a and c, so I substituted and just solved for b^2. Using the Latus Rectum properties, b^2/a is the y-coordinate.
No idea what you actually did there. How did you find the slope of the ellipse? And with respect to what? You need to post details of your work if we're to help.Physics_Boi said:I found the angle of the velocity to be 63.5 degrees, but when I solved using angular momentum I got a different answer. What I did to find the angle was set up the right triangle (between the two foci and the point), and use inverse tangent to find one of the angles, and use basic addition and manipulation of angles to figure out the rest.
The main problem with gravitation and orbits is that they do not perfectly match the predictions of Newton's laws of motion and universal gravitation. This is known as the "anomalous orbit problem."
The anomalous orbit problem challenges our understanding of the solar system because it suggests that there may be other factors at play besides just gravity. This could potentially change our understanding of the dynamics and stability of the solar system.
Some proposed explanations for the anomalous orbit problem include the existence of dark matter or the need for modifications to our current understanding of gravity, such as Einstein's theory of general relativity.
Scientists are using various methods, such as studying the movements of stars and planets in the solar system, conducting experiments, and developing new theories, to try and solve the problem of gravitation and orbits.
If scientists are able to successfully solve the problem of gravitation and orbits, it could greatly advance our understanding of the universe and potentially lead to new discoveries and technologies. It could also help us better understand the fundamental forces that govern the universe.