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  1. M

    I Orbit simulations, tidal forces and planetary oblateness

    How does one correct for tidal forces when (classically) simulating the orbits of solar system bodies?
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    C/++/# Velocity Verlet C++ implementation

    I have been working on implementing a solar system system simulator in C++ - but am getting incorrect results on the order of 10^10 km, and it seems that the planets are moving directly away from the sun. I suspect that there is a mistake in the integrator (Velocity Verlet) that I have posted...
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    I Solar system simulation -- Significant deviation of some Jovian moons

    I am working on a simulation of the solar system, but I am having problems with the orbits with Europa and Io shown in the image below, the orbits of Jupiter, Ganymede and Callisto are consistent with NASA's simulations. For all bodies I have used identical parameters in generating the initial...
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    C/++/# Library that supports multidimensional Arrays

    I'm am looking for a C++ library that supports high-dimensional arrays ( 3=< ) and element-wise calculations. Is there such a thing?
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    I Computer friendly list of bodies in the asteroid belt?

    Is there a computer friendly list with the known bodies in the Solar System astroid belt, that contains their physical properties, position and velocities?
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    I Solar system simulation errors

    Hi, as a side project I am making a solar system simulator in Python, but I am getting extreme inaccuracies. As the image shows - I am comparing the simulation to data obtained from NASA's Horizon. I have written a a basic Verlet integrator in the Python class posten below: import numpy as...
  7. M

    Is there an error in this problem?

    I am currently working on problem 32-15 in Calculus by Spivak, and in question (b) in the bottom line there is a relation [\phi_1'(b)\phi_2(b) -\phi_1'(a)\phi_2(a)]+[\phi_1(b)\phi_2'(b)-\phi_1(a)\phi_2'(a)]>0 But I can only get it to work out if [\phi_1'(b)\phi_2(b)...
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    Uncertain about premise for proof.

    I am reading §22 of Topology by Munkres, in Theorem 22.2 the function g is said to be constant on each set p^(-1)({y}). However the only explicit property given in Corollary 22.3 to the function g is that it is continuous and surjective, but Theorem 22.2 to g in the proof. Is it implied that g...
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    The meaning of different in Munkres' Topology

    The meaning of "different" in Munkres' Topology Hi, I'm working on problem 20.8(b) (page 127f) in Munkres' "Topology", the problem is to show that four topologies are "different". Does different in this context mean that they are unequal - in which case one can contain the other, or...
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    Which road to Special and General Relativity, and beyond?

    Hello, I am studying mathematics and physics on my own. However, it is the mathematical side of physics that intrest me. I would like some recommendations on which books would be beneficial for me to read, to gain an understanding of Special and General Relativity, and ultimatly string...
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