1. The problem statement, all variables and given/known data The problem and its solution are attached as TheProblemAndSolution.jpg. 2. Relevant equations *The (“instantaneous”) dust tail is opposite the direction of motion. *The plasma tail is oppositely directed to the star in question (at all times). 3. The attempt at a solution I know that the (“instantaneous”) dust tail is opposite the direction of motion (so, the (“instantaneous”) dust tail is opposite the direction of the velocity vector of the comet) and that the plasma tail is oppositely directed to the star in question (at all times). I also know that for both tails to be (“instantaneously”) pointing in the same direction (their “instantaneous” part at least – I say this since the dust tail is curved if you don't look at it “instantaneously”), the comet must be moving directly toward the star in question. I'm posting this thread for a simple question (and related sub-questions): When in (an elliptical) orbit, do the comet's tails ever point in the same direction, if ever? My logic and intuition tell me that this never happens in an (elliptical) orbit and that the only way for the comet's tails to be pointing in the same direction is for the comet to not be in an orbit (and be moving directly toward the star in question). Is what I'm thinking correct? If something I said is unclear, tell me and, I will attempt to clarify it. Any input would be greatly appreciated!