地球形状数学表达公式

地球形状数学表达公式

  69

Contributor

contributed at 2018-12-04

Authorship

Affiliation:  
岳天祥编著
Email:  
yue@lreis.ac.cn
Homepage:  
View
Is authorship not correct? Feed back

Classification(s)

Method-focused categoriesProcess-perspectivePhysical process calculation

Model Description

Chinese {{currentDetailLanguage}} Chinese

地球形状数学表达公式

1)应用测量方法以定地球之形状及大小:自秘鲁测量完毕地偏之说为人公认后,量地学又入一新时期,计算经线之长度所根据之标准不复为正球体而为一椭圆之旋转体,其离心率为e=,椭率为f=,任何两线度间之经长为:

     

式中,ab为长径及短径;

        2)应用加速率测量以求地球之形状:

                       

式中,

   

    N为地形高出(或低于)自转球之距离;G为平均加速度;△g为某定点之加速率差数(实测者与由自转球面所计算者之差);θ为定点至任何一点之角距。

        3)应用加速率及月角差观测以计算地球之长径:

                   

    式中,a为地球长径;W为地球自转之角速率;R为地球至月球之距离;T为月球绕地球一周所需之平时;Mm为地球与月球之总重量;为万有引力常数;ge=9.78052m=0.0034678

           4)应用月球之不规则运动以定椭率:

                 

    式中,变量及参数含义同上。

 参考文献:

   方俊:地球的形状。地理学报1935,21

Model Metadata

Name {{metadata.overview.name}}
Version {{metadata.overview.version}}
Model Type {{metadata.overview.modelType}}
Model Domain
{{domain}}
Sacle {{metadata.overview.scale}}

There is no overview about this model. You can click to add overview.

Purpose {{metadata.design.purpose}}
Principles
{{principle}}
Incorporated Models
{{incorporatedModel}}
Model part of larger framework: {{metadata.design.framework}}
Incorporated Models
{{process}}

There is no design info about this model. You can click to add overview.

Information {{metadata.usage.information}}
Initialization {{metadata.usage.initialization}}
Hardware Requirements {{metadata.usage.hardware}}
Software Requirements {{metadata.usage.software}}
Inputs
{{input}}
Outputs
{{output}}

There is no usage info about this model. You can click to add overview.

How to Cite

《资源环境数学模型手册》 (2018). 地球形状数学表达公式, Model Item, OpenGMS, https://geomodeling.njnu.edu.cn/modelItem/ded345c5-af1e-4dd9-a7ff-ec34c0223ffb
Copy

History

Last modifier : 
Xu Kai
Last modify time : 
2020-12-17
Modify times : 
View History

QR Code

Contributor(s)

initial contribute: 2018-12-04

Authorship

Affiliation:  
岳天祥编著
Email:  
yue@lreis.ac.cn
Homepage:  
View
Is authorship not correct? Feedback

History

Last modifier : 
Xu Kai
Last modify time : 
2020-12-17
Modify times : 
View History

QR Code

×

{{curRelation.overview}}
{{curRelation.author.join('; ')}}
{{curRelation.journal}}

You can link related {{typeName}} from repository to this model item, or you can create a new {{typeName.toLowerCase()}}.

Related Items
Related Items

You can link resource from repository to this model item, or you can create a new {{typeName.toLowerCase()}}.

Drop the file here, orclick to upload.
Select From My Space
+ add

These authorship information will be submitted to the contributor to review.

Cancel Submit
Model Classifications
Cancel Submit
Localizations + Add
{{ item.label }} {{ item.value }}
Model Name :
Cancel Submit
Name:
Version:
Model Type:
Model Domain:
Scale:
Purpose:
Principles:
Incorporated models:

Model part of

larger framework

Process:
Information:
Initialization:
Hardware Requirements:
Software Requirements:
Inputs:
Outputs:
Cancel Submit
Title Author Date Journal Volume(Issue) Pages Links Doi Operation
Cancel Submit
Add Cancel

{{articleUploading.title}}

Authors:  {{articleUploading.authors[0]}}, {{articleUploading.authors[1]}}, {{articleUploading.authors[2]}}, et al.

Journal:   {{articleUploading.journal}}

Date:   {{articleUploading.date}}

Page range:   {{articleUploading.pageRange}}

Link:   {{articleUploading.link}}

DOI:   {{articleUploading.doi}}

Yes, this is it Cancel

The article {{articleUploading.title}} has been uploaded yet.

OK
Cancel Confirm