## 4 Discussion
### Discussion of the Results of the Analysis of the Possible Change in Inclination
Discussion of the Results of the Analysis of the Energy Required to Tilt the Satellite by a Specific Angle  
This sub-section focuses on the interpretation of the results presented in Table 11. The energy consumed by reaction wheels is linearly proportional to the duration of the manoeuvre. This results from the assumed constant power consumption of 0.45 W. For small tilt angles, such as 1\({}^{\circ}\), energy consumption is very low (0.09 J), whereas for the maximum angle of 30\({}^{\circ}\), it increases to 2.70 J. The duration of the manoeuvre is proportional to the tilt angle and ranges from 0.2 s (1\({}^{\circ}\)) to 6.0 (30\({}^{\circ}\)) at a constant rotation rate of 5 \(\frac{\mathrm{\text{\text{\textcirc}}}}{\mathrm{s}}\). These values are realistic and consistent with the adopted design assumptions. For the charging power of 70 W, the charging time remains very short, ranging from 0.0013 s for the 1\({}^{\circ}\) angle to 0.0386 s for the angle of 30\({}^{\circ}\). These results suggest that the power system of the satellite is able to regenerate fast after performing the manoeuvre, which has a positive influence on its operational capacity. In conclusion, the conducted calculations and analysis demonstrate that the M6P satellite is optimised mechanically and in terms of energy to perform tilt manoeuvres within a wide range of angles. Thanks to the efficient power recovery system and low energy consumption for manoeuvres, the satellite is well adapted to perform missions that require a precise management of its spatial orientation. Conclusions:
* The analysis revealed that the power system of the nanosatellite with the selected parameters is suitable for performing short tilt manoeuvres. Thanks to the high charging power of the solar panels equal to 70 W, energy recovery time is less than 0.04 s; the satellite is able to quickly recover the energy required for further manoeuvres. * Assuming that regular tilt manoeuvres of a maximum angle of 30\({}^{\circ}\) are performed, the satellite may perform these operations with a minimum influence on the availability of power, which is crucial for missions that require a large number of spot observations. Reaction manoeuvres using the reaction wheels are highly energy-efficient; even a full assumed pivot (30\({}^{\circ}\)) requires only 2.7 J. * The results of the analysis suggest that the M6P satellite may be used in intensive observational operations, such as the monitoring of selected areas of the Earth, without the risk of running out of energy. The short charging time after each manoeuvre allows to increase the frequency of operational activities. The analysis based on the obtained results makes it possible to analyse in detail the operational capacity of the nanosatellite dedicated to acquiring images of the given region, with the characteristics provided in Section 2 (e.g., the Kampinos Forest, of the surface area of approx. 385 km2 situated on 52\({}^{\circ}\) latitude). The analysis focused on several key aspects: Propulsion efficiency, the required amount of fuel, the optimisation of the satellite's orientation, and the influence of orbital parameters on the data acquisition capacity. Conclusions concerning the propulsion and fuel:  
The analysis demonstrates that satellites of different weights and specific impulses are characterised by various fuel consumption efficiency. Higher specific impulse I\({}_{\rm sp}\) enables a more efficient use of the fuel, which is particularly important for nanosatellite missions as their resources are limited. For example, a satellite of the initial weight of 15 kg needs approx. 0.3 kg of fuel at the specific impulse I\({}_{\rm sp}\) = 230 s to change the orbit from 482 km to 550 km. An increase in the initial weight leads to a growing demand for fuel, which limits the manoeuvring capacity of the satellite. This results from the fact that a larger weight requires a larger increase in velocity \(\Delta\
u\), which involves higher energy losses.