Corrected entry: Keeping the Earth in the window during the burn for trajectory correction is inaccurate because if the LM were pointing toward the earth, the window would be underneath the craft and the earth wouldn't be visible through the window. The earth is visible to be artistically consistent. This is mentioned by Jim Lovell on DVD Commentary.
William Bergquist
17th Sep 2005
Correction: Jim Lovell says he kept Earth in the window and that the LM was not pointing toward Earth. He says the LM was pointing 90-degs to the flightpath so that Earth could be seen through the window. The burn was not to speed up the LM, but to change the angle of approach to Earth, and that it was done while the LM was at a 90-deg aspect.