I'm working with data from the DAMIT database of asteroid shape models. I'm adding them to a visualization in which the sun is at [0, 0, 0] and the X, Y axes constitute the ecliptic plane of the solar system.

Each asteroid model comes with some attributes that define its orientation and spin:

• λ (ecliptic longitude),
• β (ecliptic latitude)
• P (sidereal rotation period)
• φ0 (initial rotation angle)
• JD0 (initial date).

I've applied the matrix formulas suggested by the folks at DAMIT:

in which

This is where I get confused. My understanding is that my visualization uses a heliocentric ecliptic coordinate system.

I set r_ast to the XYZ location of a vertex in my visualization. I'm not sure this is correct.

Then I compute r_ecl from the equation above. But I think variables λ and β are geocentric ecliptic coordinates and I need to do some transformation into heliocentric ecliptic coordinates.

Is my approach correct and if so, how can I convert heliocentric ecliptic coordinates to geocentric ecliptic coordinates?

I'm working with data from the DAMIT database of asteroid shape models. I'm adding them to a visualization in which the sun is at [0, 0, 0] and the X, Y axes constitute the ecliptic plane of the solar system.

Each asteroid model comes with some attributes that define its orientation and spin:

• λ (ecliptic longitude),
• β (ecliptic latitude)
• P (sidereal rotation period)
• φ0 (initial rotation angle)
• JD0 (initial date).

I've applied the matrix formulas suggested by the folks at DAMIT:

in which

This is where I get confused. My understanding is that my visualization uses a heliocentric ecliptic coordinate system.

I set r_ast to the XYZ location of a vertex in my visualization. I'm not sure this is correct.

Then I compute r_ecl from the equation above. But I think variables λ and β are angles in a geocentric ecliptic coordinate system and I need to do some transformation into heliocentric ecliptic coordinates.

Is my approach correct and if so, how can I convert the asteroid's rotation to my visualization's heliocentric ecliptic coordinate system?