# Instance and Data Generation for the Offline Nanosatellite Task Scheduling Problem
## 3 Instance Generation
### General Procedure for Power Calculation
\(M_{m}\)  mean motion in revolutions _per_ day. \(p\)  power generation. \(\eta\)  power efficiency. \(G\)  solar flux. \(A\)  solar cell's area. \(F\)  view factor. \(\xi\)  eclipse function. \(\mathbf{r}_{X}\)  position at the equatorial geocentric frame of reference. \(\mathbf{r}_{Y}\)  position at the period frame of reference. \(\mathbf{Q}\)  Euler angle sequence. \(h\)  specific relative angular momentum. \(\theta\)  true anomaly. ## References

* (1) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Towards the thousandth CubeSat: A statistical overview. _Int. J. Aerosp. Eng._**2019**, _2019_, 5063145. [CrossRef]
* (2) [PERSON] On the verge of an astronomy CubeSat revolution. _Nat. Astron._**2018**, \(2\), 374-378. [CrossRef]
* (3) [PERSON] [PERSON]; [PERSON] CubeSat evolution: Analyzing CubeSat capabilities for conducting science missions. _Prog. Aerosp. Sci._**2017**, _88_, 59-83. [CrossRef]
* (4) [PERSON]; [PERSON]; [PERSON] [PERSON]; [PERSON] [PERSON]; [PERSON] [PERSON]; [PERSON] A branch-and-price algorithm for nanosatellite task scheduling to improve mission quality of service. _Eur. J. Oper. Res._**2022**, _303_, 168-183. [CrossRef]
* (5) [PERSON]; [PERSON]; [PERSON] [PERSON]; [PERSON] [PERSON]; [PERSON] [PERSON] A nanosatellite task scheduling framework to improve mission value using fuzzy constraints. _Expert Syst. Appl._**2021**, _175_, 114784. [CrossRef]
* (6) [PERSON]; [PERSON]; [PERSON] [PERSON]; [PERSON] [PERSON]; [PERSON] [PERSON] Task scheduling for optimal power management and quality of service assurance in CubeSats. _Acta Astronaut._**2021**, _179_, 550-560. [CrossRef]
* (7) [PERSON]; [PERSON]; [PERSON] [PERSON]; [PERSON] [PERSON]; [PERSON] [PERSON]; [PERSON]; [PERSON] [PERSON] An Energy-Aware Task Scheduling for Quality-of-Service Assurance in Constellations of Nanosatellites. _Sensors_**2022**, _22_, 3715. [CrossRef] [PubMed]
* (8) [PERSON] [PERSON]; [PERSON]; [PERSON]; [PERSON] [PERSON]; [PERSON]; [PERSON] [PERSON] A continuous-time formulation for optimal task scheduling and quality of service assurance in nanosatellites. _Comput. Oper. Res._**2022**, _147_, 105945. [CrossRef]
* (9) [PERSON]; [PERSON] [PERSON]; [PERSON] [PERSON]; [PERSON]; [PERSON] [PERSON] In-orbit preliminary results from the open-source educational nanosatellite FloripaSat-I. _Acta Astronaut._**2021**, _188_, 64-80. [CrossRef]
* (10) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] [PERSON] A Critical Embedded System Challenge: The FloripaSat-I Mission. _IEEE Lat. Am. Trans._**2020**, _18_, 249-256. [CrossRef]
* (11) [PERSON]; [PERSON]; [PERSON] Capacity fade study of lithium-ion batteries cycled at high discharge rates. _J. Power Sources_**2003**, _117_, 160-169. [CrossRef]
* (12) [PERSON]; [PERSON]; [PERSON]; [PERSON] Analysis of battery lifetime extension in a SMES-battery hybrid energy storage system using a novel battery lifetime model. _Energy_**2015**, _86_, 175-185. [CrossRef]
* (13) [PERSON]; [PERSON] _Spacecraft Thermal Control Handbook: Fundamental Technologies_; Spacecraft Thermal Control Handbook; Aerospace Press: El Segundo, CA, USA, 2002. * (14) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]. Irradiation Flux Modelling for Thermal-Electrical Simulation of CubeSats: Orbit, Attitude and Radiation Integration. _Energies_**2020**, _13_, 6691. [CrossRef]
* (15) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]. An Integrated Thermal-Electrical Model for Simulations of Battery Behavior in CubeSats. _Appl. Sci._**2021**, _11_, 1554. [CrossRef]
* (16) [PERSON] _Orbital Mechanics for Engineering Students_, 3 rd ed. ; Butterworth-Heinemann: Boston, MA, USA, 2014; p. 751. [CrossRef]
* (17) [PERSON] Spacecraft Attitude Dynamics. In _Astronautics: The Physics of Space Flight_; Springer International Publishing: Cham, Switzerland, 2018; pp. 699-734. [CrossRef]
* (18) [PERSON]; [PERSON]; [PERSON] Nanosatellite Scheduling Instances. 2023.