A geostationary satellite above the equator is orbiting around the earth at a fixed distance \( r_1 \) from the centre of the earth. A second satellite is orbiting in the equatorial plane in the opposite direction to the earth’s rotation, at a distance \( r_2 \) from the center of the earth, such that \( r_1 = 1.21 \, r_2 \). The time period of the second satellite as measured from the geostationary satellite is \( \dfrac{24}{p} \) hours. The value of \( p \) is ______.
