BARON ASSET FUND
SC 13D/A, 1996-07-03
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                                                     Page 1 of 7 Pages

                                 UNITED STATES
                      SECURITIES AND EXCHANGE COMMISSION
                            Washington, D.C.  20549

                                 SCHEDULE 13D

                   Under the Securities Exchange Act of 1934
                              (Amendment No. 2)*

                     AMERICAN MOBILE SATELLITE CORPORATION
             -----------------------------------------------------
                                (Name of Issuer)

                                COMMON STOCK
             -----------------------------------------------------
                         (Title of Class of Securities)

                                   02755R103
             -----------------------------------------------------
                                 (CUSIP Number)

                  Linda S. Martinson, Esq. (212) 759-7700
                450 Park Avenue, Suite 2800, New York, NY 10022
             -----------------------------------------------------
                 (Name, Address and Telephone Number of Person
                Authorized to Receive Notices and Communications)

                                 July 2, 1996
             -----------------------------------------------------
            (Date of Event which Requires Filing of this Statement)

If the filing person has previously filed a statement on Schedule 13G to report
the acquisition which is the subject of this Schedule 13D, and is filing this
schedule because of Rule 13d-1(b)(3) or (4), check the following box [ ].

Check the following box if a fee is being paid with this statement [ ].
(A fee is not required only if the filing person: (1) has a previous  statement
on file reporting beneficial ownership of more than five percent of the class of
securities described in Item 1; and (2) has filed no amendment subsequent
thereto reporting beneficial ownership of five percent or less of such class.)
(See Rule 13d-7.)

*The remainder of this cover page shall be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities,
and for any subsequent amendment containing information which would alter
disclosures provided in a prior cover page.

The information required on the remainder of this cover page shall not be
deemed to be "filed" for the purpose of Section 18 of the Securities Exchange
Act of 1934 ("Act") or otherwise subject to the liabilities of that section of
the Act but shall be subject to all other provisions of the Act (however, see
the Notes).

                                                    SEC 1746 (12-91)<PAGE>
<PAGE>

                            Schedule 13D Amendment No. 2(continued)
CUSIP No. 02755R103                        Page 2 of 7 Pages



- - --------------------------------------------------------------------------------
   1   NAME OF REPORTING PERSON
       S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

       
       
       Ronald Baron
- - --------------------------------------------------------------------------------
   2   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                             (a)  [  ]
                                                             (b)  [  ]


- - --------------------------------------------------------------------------------
   3   SEC USE ONLY




- - --------------------------------------------------------------------------------
   4   SOURCE OF FUNDS


       OO
- - --------------------------------------------------------------------------------
   5   CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDING IS REQUIRED PURSUANT TO ITEMS
       2(C) OR 2(E)    [ ]



- - --------------------------------------------------------------------------------
   6   CITIZENSHIP OR PLACE OF ORGANIZATION


       USA
- - --------------------------------------------------------------------------------
   NUMBER OF      7    SOLE VOTING POWER
     SHARES              942,533*
  BENEFICIALLY    --------------------------------------------------------------
    OWNED BY      8    SHARED VOTING POWER
      EACH             1,701,400
   REPORTING      --------------------------------------------------------------
     PERSON       9    SOLE DISPOSITIVE POWER
      WITH               942,533*
                  --------------------------------------------------------------
                  10   SHARED DISPOSITIVE POWER

                       1,701,400
- - --------------------------------------------------------------------------------
  11   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON


        2,643,933*
- - --------------------------------------------------------------------------------
  12   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES*



- - --------------------------------------------------------------------------------
  13   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)


    8.8%*
- - --------------------------------------------------------------------------------
  14   TYPE OF REPORTING PERSON*



       IN
- - --------------------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT

* Includes 625,000 warrant shares.
<PAGE>
<PAGE>

                                             Page 3 of 7 Pages

Item 1.   Security and Issuer

          (a)  Name of Issuer:
               American Mobile Satellite Corporation
          (b)  Address of Issuer's Principal Executive Offices:
               10802 Parkridge Boulevard
               Reston, VA 22091
          (c)  Title and Class of Securities:
               Common Stock

Item 2.   Identity and Background

          (a)  Name:
               Ronald Baron
          (b)  Business Address:
               450 Park Avenue
               Suite 2800
               New York, NY 10022
          (c)  Present Principal Employment:
               President: Baron Capital Management, Inc., BAMCO, Inc.,
               Baron Capital, Inc.
               450 Park Avenue
               Suite 2800
               New York, NY 10022
          (d)  Record of Convictions:
               No material change.
          (e)  Record of Civil Proceedings:
               No material change.
          (f)  Citizenship:
               No material change.

Item 3.    Source and Amount of Funds or Other Consideration

           Reporting Person owns 42,533 shares of the Issuer directly,
           paid for with cash for an aggregate purchase price of $795,199.
           As General Partner of Baron Capital Partners, L.P. and
           Baron Investment Partners, L.P. (The "Partnerships"),
           an investment partnership, he directed the purchase of 
           275,000 shares for the account of the Partnerships for 
           an aggregate purchase price of $3,892,600. Those shares 
           were paid for by cash assets in the Partnerships' accounts
           and by margin borrowings pursuant to the standard margin
           agreement of Spear, Leeds & Kellogg. BCP also has a warrant
           to purchase 625,000 shares of the Issuer which was
           issued in connection with a guaranty of certain obiligations
           of the Issuer as described in Item 6 hereof.  An
           additional 1,400,000 shares were purchased for an aggregate
           purchase price of $27,787,190 for the accounts of two
           investment companies registered under the Investment
           Company Act of 1940, Baron Asset Fund and Baron Growth &
           Income Fund, (the "Baron Funds"), which are advised by 
           BAMCO, Inc. ("BAMCO"), a registered investment adviser
           which is controlled by Ronald Baron. An additional 301,400
           shares were purchased for an aggregate purchase price of
           $6,100,054 for the accounts of investment advisory clients
           of Baron Capital Management, Inc.("BCM") a registered
<PAGE>
<PAGE>
                                                          Page 4 of 7 Pages


           investment company controlled by Ronald Baron. All of those
           shares were paid for by cash the assets in the accounts of
           the investment companies and advisory clients.
   
  Item 4.  Purpose of Transaction

           The securities referred to herein were acquired in the ordinary 
           course of business and were not acquired for the purpose of and
           do not have the effect of changing or influencing the control
           of the issuer of such securities and were not acquired in
           connection with or as a participant in any transaction having
           such purposes or effect. Filing Person reserves the right to
           discuss management and other proposals with other persons.
           
  Item 5.  Interest in Securities of the Issuer

           (a) Amount and percentage beneficially owned:
               Reporting Person: (i) 1,701,400 shares in his capacity as
               a controlling person of BAMCO and BCM. Reporting Person
               disclaims that he is the beneficial owner of these shares. 
               (ii) 275,000 shares, plus 625,00 shares pursuant to the
               warrant, in his capacity as General Partner of the
               Partnerships. (iii) 42,533 shares personally.
           (b) Number of shares as to which such person has:
               (i)   sole power to vote or direct the vote:
                          942,533*
               (ii)  shared power to vote or direct the vote:
                        1,701,400 
               (iii) sole power to dispose or to direct the disposition:
                          942,533*
               (iv)  shared power to dispose or direct the disposition:
                        1,701,400
               Reporting Person may be deemed to share power to vote and
               dispose of shares referred to herein as a result of his 
               control of the investment advisers for whose advisory clients
               he is reporting. He may be deemed to have sole power to vote
               and direct the disposition of the shares referred to above to
               by reason of being a general partner of the Partnerships.
           (c) A schedule of transactions effected in the last sixty days is
               attached hereto.
           (d) Ownership of More than Five Percent on Behalf of Another Person:
               The investment advisory clients have the right to receive the
               dividends from, or the proceeds from the sale of the securities
               in their respective accounts. To the best of Reporting Person's
               knowledge, no person has such interest relating to more than 5%
               of the outstanding class of securities.
           (e) Ownership of Less than Five Percent:
               Not applicable.



* Includes 625,000 warrant shares.<PAGE>
<PAGE>
                                                            Page 5 of 7 Pages


Item 6.   Contracts, Arrangements, Understandings or Relationships with
          Respect to Securities of the Issuer

          In connection with Issuer's recent $225 million bank financing
          arrangement with Morgan Guaranty Trust Company and The Toronto
          Dominion Bank, Baron Capital Partners, L.P. agreed to act as
          one of three guarantors with respect thereto and received
          warrants to purchase 625,000 shares of the Issuer's common
          stock. The documents concerning this transaction are filed with
          the Issuer's Form 8-K dated July 2, 1996.

Item 7.    Material to be Filed as Exhibits
           Exhibit 99 - 60 days of trading.
 



 Signature

     After reasonable inquiry and to the best of my knowledge and belief, I
certify that the information set forth in this statement is true, complete
and correct.

Date:     July 2, 1996



                                /s/ Ronald Baron
                                _______________________________________
                                Ronald Baron

American Mobile Satellite (SKYC)        
Transaction Schedule          
From 05-01-96 To 07-01-96          
               
                              Exec.
Date      Account ID     Quantity  Price
- - --------  ----------     --------  --------
05-17-96  baf            30000     16.625
05-20-96  baf            50000     16.75
05-20-96  bgi            10000     16.75
05-21-96  baf            40000     17.125
05-21-96  bgi             5000     17
05-22-96  baf            15000     17.5
05-22-96  baf            10000     17.5
05-22-96  bgi             5000     17.5
05-23-96  baf             2500     17.375
05-23-96  baf            27500     17.5113
05-23-96  bgi             5000     17.5
05-24-96  baf            25000     17.6667
05-24-96  baf             2000     17.625
05-24-96  bgi            12500     17.6667
05-28-96  baf             5000     17.75
05-28-96  baf            23000     17.625
05-28-96  bcm4             500     17.625
05-28-96  bgi             3000     17.75
05-28-96  bgi             7000     17.625
05-29-96  baf             7500     17.625
05-30-96  baf             6000     18
05-30-96  baf            11000     18.111
05-30-96  bgi             2500     18.111
05-31-96  baf            50500     18.5
05-31-96  bgi             5000     18.5
06-03-96  baf             3000     17.875
06-03-96  baf            25000     18.004
06-03-96  baf            12500     18.125
06-03-96  bgi             2000     17.875
06-03-96  bgi             3000     18.004
06-04-96  bcm4             200     17.75
06-04-96  bip            15000     18.75
06-04-96  bip             5000     18.25
06-05-96  baf            50000     19.458
06-05-96  baf            10000     19.25
06-05-96  bgi            10000     19.458
06-05-96  bip             5000     19.5
06-06-96  baf            65000     18.75
06-06-96  bip            10000     18.75
06-07-96  baf            19500     18.625
06-07-96  bgi             5000     18.625
06-10-96  baf            30000     18.375
06-10-96  bgi             5000     18.375
06-11-96  baf            20000     18.25
06-11-96  bgi             5000     18.25
06-12-96  baf            20000     18.125
06-12-96  bgi            15000     18.125
06-13-96  baf            25000     17.2
06-14-96  baf            45000     17.625
06-14-96  bgi            10000     17.625
06-17-96  baf             5000     17.75
06-19-96  baf             5000     17.625



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