Questions on the astronomical applications of Mathematica.

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5
votes
1answer
670 views

p-iteration algorithm to solve Lambert's problem for interplanetary trajectories

I've been reading up on using the p-iteration method to solve Lambert's problem for choosing the correct interplanetary trajectory between two planets given the ...
10
votes
2answers
429 views

Impact Crater Simulation

I have been trying to model crater formation on a given planetary surface - $500\,\textrm{km}^2$. The locations of impacts are random, however, if an impact is within $30\,\textrm{km}$ of another, the ...
11
votes
2answers
393 views

How to get the distance of Jupiter from the sun?

I am aware of the command AstronomicalData["Jupiter", "Distance"] from which I can get the distance between the earth and Jupiter. Is there any way to use ...
2
votes
2answers
1k views

Circular Orbit Velocity in Vector Components

I'm trying to find out how to calculate the initial velocity needed to keep a spacecraft in a circular orbit around the Earth given its initial position and an initial angle theta in a Cartesian ...
1
vote
0answers
298 views

Earth to Mars Interplanetary Travel Escape Velocity [closed]

I'm trying to create a script that simulates interplanetary travel from Earth to Mars using a Hohmann transfer, but I'm having a few difficulties getting the correct escape velocity. I'm using an x-y ...
16
votes
3answers
844 views

Only final result from NDSolve

Finally, I started to play with differential equations in Mathematica. And I have faced the problem, which seems to me so basic that I'm afraid this question is going to be closed soon. However, ...
5
votes
1answer
254 views

AstronomicalData and Planetary Heliocentric (x,y,z) Velocity Components

I'm trying to find data on the heliocentric velocities of planets in our solar system and was directed to Mathematica's AstronomicalData in a previous topic. ...
1
vote
0answers
679 views

Solar System Orbital Parameters [duplicate]

I recently made an n-body simulation and thought it would be interesting to try and model it on the interior of our solar system (Sun to Mars), but I cannot find initial conditions for such an ...
30
votes
2answers
2k views

The Orbit and Perigee of the Flamsteed comet

Historical context This year we have the 330-th anniversary of the Battle of Vienna - one of the great formative events of European history, it took place on September 12, 1683. Kara Mustafa, Grand ...
21
votes
2answers
5k views

Creating a simulation of our Solar System

As the title says, my objective is to create a simulation of the motion of the planets in our Solar System using Mathematica. All the theoretical background regarding the equations of motion of ...
13
votes
2answers
404 views

How is AstronomicalData interpreting its date arguments?

It is easy to confirm that the AstronomicalData is not interpreting its arguments as UTC (or "GMT", which is, in any case, ambiguous) dates by verifying that the ...
14
votes
1answer
299 views

Is there a way to get AbsoluteTime to correctly report absolute time differences?

Absolute time supposedly reports the "total number of seconds" between two dates, but it does not. For example because of the leap second applied at 2012-06-30T23:59:60Z ...
7
votes
2answers
644 views
7
votes
2answers
269 views

What do AstronomicalData's “SetTime” and “RiseTime” values refer to?

What astronomical event do AstronomicalData's "NextRiseTime", "NextSetTime", ...
9
votes
1answer
286 views

How do I determine astronomical transit times?

Mathematica, through the "legacy" Scientific Astronomer package, used to have the ability to easily determine accurate transit times of astronomical objects simply, with ...
42
votes
3answers
3k views

Mollweide maps in Mathematica

Context In my field of research, many people use the following package: healpix (for Hierarchical Equal Area isoLatitude Pixelization) which has been ported to a few different languages (F90, C,C++, ...
9
votes
3answers
429 views

Why is AstronomicalData so slow?

I'm having trouble getting some pretty simple functions using AstronomicalData to perform at anywhere near the speed I need them to. For example, I have many ...
14
votes
3answers
2k views

How do I compute sidereal time and JD?

There was once a package that provided a wide range of functions for computing astronomical information. This package now appears to be out of date; but as near as I can tell, many of the useful ...
25
votes
3answers
4k views

Composition: how to make a day and night world map?

Given the following world images: ...
5
votes
2answers
277 views

Why is Neptune missing from AstronomicalData?

An old notebook I've recently started working with has a strange error: Prior to version 8, a figure I generated using Drop[AstronomicalData["Planet"],-1] to ...