This paper investigates the concept of solar mirrors in a Earth orbit to provide large-scale terrestrial equatorial solar farms with additional solar power during the hours of darkness. A ower constellation of mirrors is considered in highly-eccentric orbits (semi-major axis=20270.4 km) in order to increase the time of visibility over the solar farms and, through this architecture, only two mirrors are needed to provide a complete night-coverage over three equatorial locations. Selecting the proper value for the orbit eccentricity, solar radiation pressure and Earth's oblateness perturbations act on the mirrors so that the apsidal motion of the orbit due to these perturbations is synchronized with the apparent motion of the Sun. Therefore, it can be guaranteed that the perigee always points towards the Sun and that the mirrors orbit mostly above the night side of the Earth. With respect to Geostationary orbit (GEO), the family of orbits considered in this paper allow a passive means to overcome issues related to orbital perturbations. Moreover, because of the large slant range from GEOs, a larger mirror is required to deliver the same energy that could be delivered from a lower orbit with a smaller mirror. As a result, a single anti-heliotropic ower constellation comprised of two mirrors of 50 km 2 would be able to deliver energy in the range of 4.60 − 5.20 GW h per day to 1000 km 2-solar farms on the equator. Finally, it is estimated that, deploying 90 of these constellations, the price of electricity could be reduced from 9.1 cents to 6 cents per kWh.