The high precision relative positioning is one of the key conditions of multiple earth-observation satellites
differential observation. Usually, the earth-observation satellites' relative positions are got by GNSS differential
positioning. The key technology of GNSS high precision differential positioning is carrier phase AR (Ambiguity
Resolution). The distance between two earth-observation satellites is from several kilometers to several hundreds
kilometers. So it's a problem of ambiguities resolution for mid-long distance baseline. There are a lot of difficulties to
solve this kind of ambiguities such as large double difference systematic errors. In order to solve these difficulties, this
paper proposed a fast and kinematic AR method named as CPES (Coordinate Parameters Eliminated and Stepwise)
method which is based on LAMBDA method. At first, the primary theories of this method are introduced. Then, the steps
from wide-lane ambiguities resolution to L1, L2 ambiguities resolution are proposed. Lastly, several examples' results
show that this AR method has the advantages of fast speed and high reliability.
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