Remote Network Management via Satellite

I would guess that your satellite modem provides you with a gateway IP address for your LAN and that this IP address is a private IP address (part of the satellite service providers network).  If this is the case you need to ask them to forward a public IP address through your satellite modem to the private IP address you are using for your wireless router. (Note you will have your own invented range of IP addresses for your wireless customer LAN, but this is not relevent since you are not trying to access one of their PCs.)

You can then go from your home to the wireless router using telenet abc.abc.abc.abc, or to the web interface of the wireless routher using https://abc.abc.abc.abc

Be extremely careful about security and use the longest possible management password on your wireless router and change it regularly.  If your router has enhanced security use it.  It may be possible to permit only your home IP address to get through.  Your satellite service provider can help here with a similar routing restriction put into their VSAT hub router. Talk to them as see what they suggest.  They may be able to do a 'port forward' so that you can get to your wireless router by using say
https://aaa.bbb.ccc.ddd:12345   The aaa.bbb.ccc.ddd might be the public IP address of the VSAT hub router.

I hope more people here will add their comments.  Setting up routers is a skilled job and needs to be done really carefully to avoid opening up security holes.

If the above does not sound as though it will solve your problem there is the possibility of an encrypted GRE tunnel.  This allows you have a LAN at your home and the same LAN at your remote site. e.g 192.168.21.xxx at your home and 192.168.22.xxx at your wireless router.  Using a GRE tunnel, the items at the end of the satellite link appear to be close by, all within the same LAN 192.168.xxx.xxx

As above, this needs setting up by an expert. Similar proper Cisco routers at each end are recommended.

Best regards, Eric.

I don't know how to connect a dial up modem to a router. 

A PC however might have both a dial up modem (so you can get in) and an ethernet connected to your LAN.

You could then, using your home PC, dial up the LAN PC and control it using VNC perhaps ?

Please would other help with advice and ideas ?

Best regards, Eric.

As suggested, a local computer, something simple, connected to your vsat source would be the best choice in my opinion to support anything on your network. There are many choices for security, construct your own and use a vpn and VNC as suggested, or enlist the use of a web connection VPN service like logmein or one of many available.  a local computer under your control through a VPN would be my best solution. you might find someone locally willing to share a their computer as a host for your occasional admin work, but your limited to their non use times. Take a look at the small Linux palm size computers running a solid state HD, no fan, very compact around 6x6x2". I have a Zonbu unit, and there are many others that fit in palm of hand that would function as a remote host for your needs. Many have installed Win product OS on these same small box products, about the same size as a AP or router appliance.