{"id":"vidhyamitra:city-day:vrindavan:1964-03-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1964-03-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1964-03-31","date_display":"March 31, 1964 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":1964,"month":3,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438485.770833,"kali_year":5065,"ahargana":1850020.2708,"sun":{"sidereal_longitude":347.26,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":203.2011,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":215.9412,"elapsed_within_tithi_degrees":11.9412},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":203.2011,"elapsed_within_degrees":3.2011},"yoga":{"number":15,"name":"Vajra","sum_longitude":190.4611},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1964,"month":3,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2438485.770833,"ahargana":1850020.2708,"kali_year":5065,"ayanamsa_lahiri":23.3535,"grahas":{"sun":{"sidereal_longitude":347.009069,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":200.353569,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false,"latitude":3.631},"mars":{"sidereal_longitude":338.352269,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":4.006868999999995,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":4.491669000000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":32.98256900000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":308.04406900000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":77.0231,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":257.0231,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"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":1964,"month":3,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438485.770833,"kali_year":5065,"ahargana":1850020.2708,"sun":{"sidereal_longitude":347.26,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":203.2011,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":215.9412,"elapsed_within_tithi_degrees":11.9412},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":203.2011,"elapsed_within_degrees":3.2011},"yoga":{"number":15,"name":"Vajra","sum_longitude":190.4611},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.631,"elongation":144.059},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.631,"opposition_distance":35.941}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:12","sunsetLocal":"18:36","solarNoonLocal":"12:24","dayLengthHours":12.411841001111526,"dayLengthDisplay":"12 Hours 24 Mins 43 Secs","nightLengthDisplay":"11 Hours 35 Mins 17 Secs","moonriseLocal":"21:09","moonsetLocal":"08:06","rahuKala":{"name":"Rāhu Kāla","start":"15:30","end":"17:03","startHours":15.503368607212657,"endHours":17.054848732351598,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:18","end":"10:51","startHours":9.297448106656894,"endHours":10.848928231795835,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:24","end":"13:57","startHours":12.400408356934776,"endHours":13.951888482073716,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:30","startHours":9.090584089971703,"endHours":9.504312123342086,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:43","end":"07:03","startHours":6.711647898091993,"endHours":7.0426303247883,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:49","startHours":11.986680323564391,"endHours":12.81413639030516,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:32","end":"05:22","startHours":4.539575722897476,"endHours":5.3670317896382445,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:10","end":"06:12","startHours":5.160167772953052,"endHours":6.194487856379013,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:18","startHours":14.469048523786697,"endHours":15.296504590527466,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:24","end":"18:48","startHours":18.40632885749054,"endHours":18.806328857490538,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:36","end":"19:07","startHours":18.60632885749054,"endHours":19.12348889920352,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:21","end":"20:06","startHours":18.35632885749054,"endHours":20.10632885749054,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:49","startHours":23.986680323564393,"endHours":24.81413639030516,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:12","end":"07:45","startHours":6.194487856379013,"endHours":7.745967981517953,"quality":"inauspicious"},{"name":"Udveg","start":"07:45","end":"09:18","startHours":7.745967981517953,"endHours":9.297448106656894,"quality":"inauspicious"},{"name":"Chala","start":"09:18","end":"10:51","startHours":9.297448106656894,"endHours":10.848928231795835,"quality":"neutral"},{"name":"Labha","start":"10:51","end":"12:24","startHours":10.848928231795835,"endHours":12.400408356934776,"quality":"auspicious"},{"name":"Amṛta","start":"12:24","end":"13:57","startHours":12.400408356934776,"endHours":13.951888482073716,"quality":"auspicious"},{"name":"Kāla","start":"13:57","end":"15:30","startHours":13.951888482073716,"endHours":15.503368607212657,"quality":"inauspicious"},{"name":"Śubha","start":"15:30","end":"17:03","startHours":15.503368607212657,"endHours":17.054848732351598,"quality":"auspicious"},{"name":"Roga","start":"17:03","end":"18:36","startHours":17.054848732351598,"endHours":18.60632885749054,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:36","end":"20:03","startHours":18.60632885749054,"endHours":20.054848732351598,"quality":"inauspicious"},{"name":"Śubha","start":"20:03","end":"21:30","startHours":20.054848732351598,"endHours":21.503368607212657,"quality":"auspicious"},{"name":"Roga","start":"21:30","end":"22:57","startHours":21.503368607212657,"endHours":22.951888482073716,"quality":"inauspicious"},{"name":"Udveg","start":"22:57","end":"00:24","startHours":22.951888482073716,"endHours":24.400408356934776,"quality":"inauspicious"},{"name":"Chala","start":"00:24","end":"01:51","startHours":24.400408356934776,"endHours":25.848928231795835,"quality":"neutral"},{"name":"Labha","start":"01:51","end":"03:18","startHours":25.848928231795835,"endHours":27.297448106656894,"quality":"auspicious"},{"name":"Amṛta","start":"03:18","end":"04:45","startHours":27.297448106656894,"endHours":28.745967981517953,"quality":"auspicious"},{"name":"Kāla","start":"04:45","end":"06:12","startHours":28.745967981517953,"endHours":30.194487856379013,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:12","end":"07:12","startHours":6.194487856379013,"endHours":7.194487856379013,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:12","end":"08:12","startHours":7.194487856379013,"endHours":8.194487856379013,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:12","end":"09:12","startHours":8.194487856379013,"endHours":9.194487856379013,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:12","end":"10:12","startHours":9.194487856379013,"endHours":10.194487856379013,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:12","end":"11:12","startHours":10.194487856379013,"endHours":11.194487856379013,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:12","end":"12:12","startHours":11.194487856379013,"endHours":12.194487856379013,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:12","end":"13:12","startHours":12.194487856379013,"endHours":13.194487856379013,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:12","end":"14:12","startHours":13.194487856379013,"endHours":14.194487856379013,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:12","end":"15:12","startHours":14.194487856379013,"endHours":15.194487856379013,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:12","end":"16:12","startHours":15.194487856379013,"endHours":16.194487856379013,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:12","end":"17:12","startHours":16.194487856379013,"endHours":17.194487856379013,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:12","end":"18:12","startHours":17.194487856379013,"endHours":18.194487856379013,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:12","end":"19:12","startHours":18.194487856379013,"endHours":19.194487856379013,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:12","end":"20:12","startHours":19.194487856379013,"endHours":20.194487856379013,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:12","end":"21:12","startHours":20.194487856379013,"endHours":21.194487856379013,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:12","end":"22:12","startHours":21.194487856379013,"endHours":22.194487856379013,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:12","end":"23:12","startHours":22.194487856379013,"endHours":23.194487856379013,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:12","end":"00:12","startHours":23.194487856379013,"endHours":24.194487856379013,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:12","end":"01:12","startHours":24.194487856379013,"endHours":25.194487856379013,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:12","end":"02:12","startHours":25.194487856379013,"endHours":26.194487856379013,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:12","end":"03:12","startHours":26.194487856379013,"endHours":27.194487856379013,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:12","end":"04:12","startHours":27.194487856379013,"endHours":28.194487856379013,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:12","end":"05:12","startHours":28.194487856379013,"endHours":29.194487856379013,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:12","end":"06:12","startHours":29.194487856379013,"endHours":30.194487856379013,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"North","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":4.102601973752722,"eotMinutes":-4.661701416086492,"ayanamsa":23.3535}},"calendars":{"vikram_samvat":2021,"vikram_samvatsara":"Piṅgala","saka_samvat":1886,"saka_samvatsara":"Krodhi","bengali_samvat":1371,"malayalam_era":1140,"nanakshahi_year":495,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra (Adhika) Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra (Adhika) Kṛṣṇa Tṛtīyā · Vikram 2021 Piṅgala · Śaka 1886 Krodhi"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga March 31, 1964 CE · Vṛndāvana · Vidhyamitra","description":"March 31, 1964 CE for Vṛndāvana: Kṛṣṇa Tṛtīyā, sūryodaya 06:12, sūryāsta 18:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1964-03-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1964-03-31","sa":"https://sa.vidhyamitra.com/city/vrindavan/1964-03-31","hi":"https://hi.vidhyamitra.com/city/vrindavan/1964-03-31","x-default":"https://vidhyamitra.com/city/vrindavan/1964-03-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T21:31:34.468Z","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":"2026-06-02T21:31:34.468Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T21:31:34.468Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}