# NavList:

## A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding

Message:αβγ
Message:abc
 Add Images & Files Posting Code: Name: Email:
Re: Distance on ellipsoid
From: Jan van Puffelen
Date: 1996 Oct 30, 18:17 EST

```At 10:51 30-10-96 -0700, you wrote:
>
>If anyone is interested, I will try to find the "real" formulas.
The integral VB on the ellipsoid is:
VB(x)=180/pi * (LN(TAN(x)+SEC(x))-e^2 * SIN(x) - e^4 * SIN(x)^3 / 3 - e^6 *
SIN(x)^5 / 5...)
e = 0.08199189 (excentricity according to Hayford (International Ellipsoid))
N.B. TAN(loxodrome course) = (long2-long1)/(VB(lat2)-VB(lat1)) or better:
loxodrome course = ATAN2((long2 - long1), (VB(lat2)-VB(lat1)))
I use this formula to calculate loxodrome course and distance in a handheld
computer but I do not bother with the excentricity. The differences between
the spheroid and the ellipsoid are negligible in practice.
You are very right about being careful with these formula's. But my programs
(that I have provided some time ago) always give the right anwers provided N
lat and E long are entered positive.
Regards,
Jan
>
>Jim
>
>Jim Easton
>4364 Bonita Rd., No. 166
>Bonita, CA, 91902-1421
>
>Tel: (619) 548-0138
>FAX: (619) 470-8616
>
>
>
>
```
Browse Files

Drop Files

### Join NavList

 Name: (please, no nicknames or handles) Email:
 Do you want to receive all group messages by email? Yes No
You can also join by posting. Your first on-topic post automatically makes you a member.

### Posting Code

Enter the email address associated with your NavList messages. Your posting code will be emailed to you immediately.
 Email:

### Email Settings

 Posting Code:

### Custom Index

 Subject: Author: Start date: (yyyymm dd) End date: (yyyymm dd)