坐标参数为长度量的一种新型的大地坐标系

提出了一种新型的大地坐标系,它仍以经纬线为坐标曲线,但其坐标参数则由大地经纬度改为以长度量来表示的新大地坐标;导出了以新大地坐标来表述的地球椭球面的第一基本形式并确定其系数;推证出按新大地纵坐标表示的随纬度变化的长度归化因子的表示式,以此算得的结果与由大地纬度所得的标准值精确相符,且适用于南北跨距达440 km的测量范围.这就为建立以新大地坐标为坐标参数的大地线微分方程和微分关系式创造了前提,从而能在这种新型大地坐标系中进行便捷而又精确的椭球面上的计算.

New Form of Geodetic Coordinate System Taking Two Length Quantity as Coordinate Parameters

A new form of geodetic coordinate system based on geodesic coordinate instead of geodetic longitude and latitude is proposed. A vertical and horizontal geodesic coordinates measured with length is defined as coordinate parameter, but the two families of coordinate curves are still meridians and parallel circles. The first fundamental form on the ellipsoidal surface and its three coefficients are deduced by the geodesic coordinate. The formula for the latitudinal scale factor of length for geodesic parallel lines is derived, by which the obtained result conforms to that standard value calculated from geodetic latitude, and it is applicable in the range of 440 km from north to south. Therefore, it lays the foundation for establishing the differential equation and differential relationship based on this type of coordinate parameters, and consequently it is convenient and accurate enough to operate on the ellipsoidal surface in this new form of geodetic coordinate system.