{"id":"vidhyamitra:city-day:mathura:1950-08-28:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1950-08-28","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1950-08-28","date_display":"August 28, 1950 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1950,"month":8,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433521.770833,"kali_year":5052,"ahargana":1845056.2708,"sun":{"sidereal_longitude":130.4544,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":317.4323,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":186.9779,"elapsed_within_tithi_degrees":6.9779},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":317.4323,"elapsed_within_degrees":10.7656},"yoga":{"number":7,"name":"Sukarma","sum_longitude":87.8866},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":1950,"month":8,"day":28,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2433521.770833,"ahargana":1845056.2708,"kali_year":5052,"ayanamsa_lahiri":23.1637,"grahas":{"sun":{"sidereal_longitude":131.00743,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":316.13443000000007,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false,"latitude":-1.7284},"mars":{"sidereal_longitude":198.29623000000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":157.92022999999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":309.97452999999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":111.53583000000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":147.39263,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":340.0397,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":160.0397,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1950,"month":8,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433521.770833,"kali_year":5052,"ahargana":1845056.2708,"sun":{"sidereal_longitude":130.4544,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":317.4323,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":186.9779,"elapsed_within_tithi_degrees":6.9779},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":317.4323,"elapsed_within_degrees":10.7656},"yoga":{"number":7,"name":"Sukarma","sum_longitude":87.8866},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.728,"elongation":173.022},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.728,"opposition_distance":6.978}},"eclipse_window_40days":[{"offset_days":15,"type":"solar","occurs":true,"moon_latitude":1.306,"elongation":2.594}]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:55","sunsetLocal":"18:45","solarNoonLocal":"12:20","dayLengthHours":12.828235639827907,"dayLengthDisplay":"12 Hours 49 Mins 42 Secs","nightLengthDisplay":"11 Hours 10 Mins 18 Secs","moonriseLocal":"18:55","moonsetLocal":"06:26","rahuKala":{"name":"Rāhu Kāla","start":"07:31","end":"09:08","startHours":7.524673780414274,"endHours":9.128203235392762,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:44","end":"12:20","startHours":10.731732690371249,"endHours":12.335262145349738,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:56","end":"15:33","startHours":13.938791600328226,"endHours":15.542321055306715,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:55","end":"09:21","startHours":8.914399308062297,"endHours":9.342007162723228,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:27","end":"06:48","startHours":6.455654143761948,"endHours":6.797740427490693,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:46","startHours":11.907654290688807,"endHours":12.762870000010668,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:13","end":"05:04","startHours":4.210712906792064,"endHours":5.065928616113925,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:51","end":"05:55","startHours":4.8521246887834595,"endHours":5.921144325435785,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:20","startHours":14.47330141865439,"endHours":15.328517127976252,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:33","end":"18:57","startHours":18.549379965263693,"endHours":18.94937996526369,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:45","end":"19:17","startHours":18.749379965263692,"endHours":19.283889783589856,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:30","end":"20:15","startHours":18.499379965263692,"endHours":20.249379965263692,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:46","startHours":23.907654290688807,"endHours":24.76287000001067,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:55","end":"07:31","startHours":5.921144325435785,"endHours":7.524673780414274,"quality":"auspicious"},{"name":"Kāla","start":"07:31","end":"09:08","startHours":7.524673780414274,"endHours":9.128203235392762,"quality":"inauspicious"},{"name":"Śubha","start":"09:08","end":"10:44","startHours":9.128203235392762,"endHours":10.731732690371249,"quality":"auspicious"},{"name":"Roga","start":"10:44","end":"12:20","startHours":10.731732690371249,"endHours":12.335262145349738,"quality":"inauspicious"},{"name":"Udveg","start":"12:20","end":"13:56","startHours":12.335262145349738,"endHours":13.938791600328226,"quality":"inauspicious"},{"name":"Chala","start":"13:56","end":"15:33","startHours":13.938791600328226,"endHours":15.542321055306715,"quality":"neutral"},{"name":"Labha","start":"15:33","end":"17:09","startHours":15.542321055306715,"endHours":17.145850510285204,"quality":"auspicious"},{"name":"Amṛta","start":"17:09","end":"18:45","startHours":17.145850510285204,"endHours":18.749379965263692,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:45","end":"20:09","startHours":18.749379965263692,"endHours":20.145850510285204,"quality":"neutral"},{"name":"Labha","start":"20:09","end":"21:33","startHours":20.145850510285204,"endHours":21.542321055306715,"quality":"auspicious"},{"name":"Amṛta","start":"21:33","end":"22:56","startHours":21.542321055306715,"endHours":22.938791600328226,"quality":"auspicious"},{"name":"Kāla","start":"22:56","end":"00:20","startHours":22.938791600328226,"endHours":24.335262145349738,"quality":"inauspicious"},{"name":"Śubha","start":"00:20","end":"01:44","startHours":24.335262145349738,"endHours":25.73173269037125,"quality":"auspicious"},{"name":"Roga","start":"01:44","end":"03:08","startHours":25.73173269037125,"endHours":27.12820323539276,"quality":"inauspicious"},{"name":"Udveg","start":"03:08","end":"04:31","startHours":27.12820323539276,"endHours":28.524673780414275,"quality":"inauspicious"},{"name":"Chala","start":"04:31","end":"05:55","startHours":28.524673780414275,"endHours":29.921144325435783,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:55","end":"06:55","startHours":5.921144325435785,"endHours":6.921144325435785,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:55","end":"07:55","startHours":6.921144325435785,"endHours":7.921144325435785,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:55","end":"08:55","startHours":7.921144325435785,"endHours":8.921144325435785,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:55","end":"09:55","startHours":8.921144325435785,"endHours":9.921144325435785,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:55","end":"10:55","startHours":9.921144325435785,"endHours":10.921144325435785,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:55","end":"11:55","startHours":10.921144325435785,"endHours":11.921144325435785,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:55","end":"12:55","startHours":11.921144325435785,"endHours":12.921144325435785,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:55","end":"13:55","startHours":12.921144325435785,"endHours":13.921144325435785,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:55","end":"14:55","startHours":13.921144325435785,"endHours":14.921144325435785,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:55","end":"15:55","startHours":14.921144325435785,"endHours":15.921144325435785,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:55","end":"16:55","startHours":15.921144325435785,"endHours":16.921144325435783,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:55","end":"17:55","startHours":16.921144325435783,"endHours":17.921144325435783,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:55","end":"18:55","startHours":17.921144325435783,"endHours":18.921144325435783,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:55","end":"19:55","startHours":18.921144325435783,"endHours":19.921144325435783,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:55","end":"20:55","startHours":19.921144325435783,"endHours":20.921144325435783,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:55","end":"21:55","startHours":20.921144325435783,"endHours":21.921144325435783,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:55","end":"22:55","startHours":21.921144325435783,"endHours":22.921144325435783,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:55","end":"23:55","startHours":22.921144325435783,"endHours":23.921144325435783,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:55","end":"00:55","startHours":23.921144325435783,"endHours":24.921144325435783,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:55","end":"01:55","startHours":24.921144325435783,"endHours":25.921144325435783,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:55","end":"02:55","startHours":25.921144325435783,"endHours":26.921144325435783,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:55","end":"03:55","startHours":26.921144325435783,"endHours":27.921144325435783,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:55","end":"04:55","startHours":27.921144325435783,"endHours":28.921144325435783,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:55","end":"05:55","startHours":28.921144325435783,"endHours":29.921144325435783,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":9.978926138114057,"eotMinutes":-0.8105287209842176,"ayanamsa":23.1637}},"calendars":{"vikram_samvat":2007,"vikram_samvatsara":"Śobhana","saka_samvat":1872,"saka_samvatsara":"Vikṛti","bengali_samvat":1357,"malayalam_era":1126,"nanakshahi_year":481,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Pratipada · Vikram 2007 Śobhana · Śaka 1872 Vikṛti"},"festivals":[{"id":"pitra-paksha-start","name":"Pitṛ-Pakṣa Start","name_sanskrit":"पितृ पक्ष आरम्भ","tradition":"Pan-Hindu","associated_deity":"Pitṛ-gaṇa","significance":"Begin 16-day śrāddha period for ancestors. Bhādrapada Pūrṇimā next-day.","vrata":true,"detection":{"tithi_number":16,"tithi_paksha":"Kṛṣṇa","lunar_month":"Bhādrapada"},"precedence":2},{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"precedence":5}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga August 28, 1950 CE · Mathurā · Vidhyamitra","description":"August 28, 1950 CE for Mathurā: Kṛṣṇa Pratipada, sūryodaya 05:55, sūryāsta 18:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1950-08-28","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1950-08-28","sa":"https://sa.vidhyamitra.com/city/mathura/1950-08-28","hi":"https://hi.vidhyamitra.com/city/mathura/1950-08-28","x-default":"https://vidhyamitra.com/city/mathura/1950-08-28"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:44:02.437Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-14T15:44:02.437Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:44:02.437Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}