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Discovery and designation
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| Discovered by | Spacewatch |
| Discovery site | Kitt Peak |
| Discovery date | September 28, 1998 |
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Designations
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| MPC designation | 13745 |
| Alternate name(s) | 1998 SL42 |
| Epoch May 14, 2008 | |
| Ap | 2.8137983 |
| Peri | 2.3875715 |
| Eccentricity | 0.0819451 |
| Orbital period | 1531.8986620 |
| Mean anomaly | 76.94135 |
| Inclination | 1.15574 |
| Longitude of ascending node | 332.21363 |
| Argument of peri | 63.94736 |
| Absolute magnitude (H) | 14.2 |
13745 Mikecosta (1998 SL42) is a main-belt asteroid discovered on September 28, 1998 by Spacewatch at Kitt Peak.
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