Orbital Instability Zones of Space Balloons

Analysis of the orbital evolution of space debris using a solar sail and natural forces

“…Comparing Eq. ( 23) with the equation of the solar radiation pressure of [Gkolias and Colombo (2019)] given in Appendix A, page 24 (see also [Krivov and Getino (1997), Krivov et al (1995), Hamilton and Krivov (1996)]), note that we get the same result except for the term n ⊙ 2 βa ⊙ ae. This happens because our approach is different (see section 2.1) from that presented in [Gkolias and Colombo (2019)].…”

“…Equation ( 22) represents the SRP in the single averaged model considering the Sun in an elliptical and inclined orbit. In [Gkolias and Colombo (2019), Colombo et al (2012), Gkolias et al (2020), Krivov and Getino (1997), Krivov et al (1995), Alessi et al (2018a), Alessi et al (2019)] the authors also consider the single averaged model, but the eccentricity of the Sun is not taken into account. Thus, making e ⊙ = 0 in Eq.…”

“…In this paper, the use of solar sail as a mitigation technique is analyzed, which are objects with a large surface area and small mass, which allows movement using the solar radiation pressure as a source of propulsion to mitigate the problem of the space debris. The modeling and exploration of the SRP is widely discussed and applied in the literature, such as [Ferraz-Mello (1972), Lücking et al (2012), Lücking et al (2013), Gkolias and Colombo (2019), Colombo and de Bras de Fer (2016), Colombo et al (2012), Krivov and Getino (1997), Krivov et al (1995), Xin et al (2016)]. In addition, a large amount of previous work has focused on the use of solar sails for end-of-life disposal, such as [Krivov and Getino (1997), Krivov et al (1995), Colombo et al (2012)].…”

“…The modeling and exploration of the SRP is widely discussed and applied in the literature, such as [Ferraz-Mello (1972), Lücking et al (2012), Lücking et al (2013), Gkolias and Colombo (2019), Colombo and de Bras de Fer (2016), Colombo et al (2012), Krivov and Getino (1997), Krivov et al (1995), Xin et al (2016)]. In addition, a large amount of previous work has focused on the use of solar sails for end-of-life disposal, such as [Krivov and Getino (1997), Krivov et al (1995), Colombo et al (2012)]. In this way, we present an approach that can contribute to the sustainability of the space exploration, using the solar sail as a propulsion mechanism.…”

“…We verified that the firstorder term is predominant in relation to the second-order term, where the latter can be neglected. In [Casanova et al (2015), Gkolias and Colombo (2019), Colombo et al (2012), Gkolias et al (2020), Krivov and Getino (1997), Krivov et al (1995)] the authors also consider the single averaged model, but in the PRS mathematical model they consider the Sun in a circular and inclined orbit. In this way, our model is slightly different from the models presented.…”