Detailed solutoon please A seventeenth century navigator would have been pleased

Question

Detailed solutoon please

A seventeenth century navigator would have been pleased to estimate his longitude with an error of 1 degree. At a WGS84 LLH (Lat: 42 degree: Long: 83 degree, Geodetic Height: 100 m), what would have been the resultant position error in meters? First, try the simple spherical model of the earth with radius of 6371 km. Next, use the WGS 84 ellipsoidal model (Table 4.1). Note that 6371 km is the approximate radius of a sphere whose volume equals that of the WGS 84 ellipsoid.

Explanation / Answer

Circumference of Earth = 2pi*R = 2pi x 6371km = 40.03 x 10^6 m

complete 360 degree rotation is equivalent to 40.03 x 10^6 m

so 1 degree error is equivalent to 111111.1111 m = 111 km

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.