Overview

The purpose of this analysis is to determine an estimated orbit lifetime for the FINCH spacecraft and compare it against the new requirement to deorbit within five years following the end of the mission (1 year in our case, as per FINCH-Mission-Lifetime) as specified in FINCH-Spacecraft-DeorbitTime. Key takeaways are presented along with resulting requirements. Debris Assessment Software (DAS) is used to conduct the analysis.

All DAS project files for this analysis can be found on GitHub:

GitHub - utat-ss/FINCH-debris-assessment: Project files for FINCH debris analysis using NASA's Debris Assessment Software

Setup

The following list of inputs are required to produce the following outputs via the tool’s Orbit Lifetime/Dwell Time module.

Years are formatted in decimal time (ex. 2005.4 = April 24, 2005). The required parameters for the analysis are derived in the following sections.

Orbital Parameters

The following initial orbital parameters are used.

Parameter Value Source
Start Year 2026 Estimated FINCH launch based on launch readiness date of September 1, 2025
Perigee Altitude =Altitude Assumes circular orbit
Apogee Altitude =Altitude Assumes circular orbit
Altitude 400-600km To be varied
Inclination 97.6° FINCH-Spacecraft-OrbitalInjectionParameters
R. A. of Ascending Node 103.07° See R. A. of Ascending Node
Argument of Perigee See Argument of Perigee

R. A. of Ascending Node

Assuming a launch date of January 1, 2026, the Right Ascension of the Sun is as follows [Right Ascension of the Ascending Node]:

Vernal Equinox March 20, 2025
Launch Date January 1, 2026
Days between launch & equinox 287
Right Ascension of the Sun: $RA_0 = 360° \times \frac{287}{365}$ 283.07

Taking the earliest, middle, and latest LTDN specified in FINCH-Spacecraft-OrbitalInjectionParameters, the RAAN is:

10:00 12:00 14:00
LTAN 10 - 12 = 22 12 - 12 = 0 14 - 12 = 2
LTAN - 12 22 - 12 = 10 0 - 12 = 12 2 - 12 = 14
RAAN $\Omega = 283.07 + (15 \times 10)$ $\Omega = 283.07 + (15 \times 12)$ $\Omega = 283.07 + (15 \times 14)$
433.08° OR
73.07° 463.07° OR
103.07° 493.07° OR
133.07°

The average RAAN, 103.07°, is used in the analysis.

Argument of Perigee

Since FINCH’s orbit is circular, its argument of perigee is undefined. Simply, a circular orbit has no perigee since the satellite maintains an equal distance from the Earth. Mathematically, a circular orbit has an eccentricity of 0, hence [Argument of Perigee]: