{"id":"vidhyamitra:city-day:pushkar:1964-10-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/pushkar/1964-10-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1964-10-21","date_display":"October 21, 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":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438689.770833,"kali_year":5066,"ahargana":1850224.2708,"sun":{"sidereal_longitude":183.6827,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":0.2113,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":176.5286,"elapsed_within_tithi_degrees":8.5286},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":0.2113,"elapsed_within_degrees":0.2113},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":183.894},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":10,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2438689.770833,"ahargana":1850224.2708,"kali_year":5066,"ayanamsa_lahiri":23.3613,"grahas":{"sun":{"sidereal_longitude":184.31737499999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":2.1930750000000216,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false,"latitude":-4.1103},"mars":{"sidereal_longitude":118.30917499999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":188.263775,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":31.33347500000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":144.878575,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":305.80927499999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":66.2142,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":246.2142,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438689.770833,"kali_year":5066,"ahargana":1850224.2708,"sun":{"sidereal_longitude":183.6827,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":0.2113,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":176.5286,"elapsed_within_tithi_degrees":8.5286},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":0.2113,"elapsed_within_degrees":0.2113},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":183.894},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.11,"elongation":176.529},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.11,"opposition_distance":3.471}},"eclipse_window_40days":[]},"city":{"slug":"pushkar","name":"Puṣkar","lat":26.49,"lon":74.55,"tz_offset_hours":5.5,"state":"Rajasthan","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"pushkar","name":"Puṣkar","lat":26.49,"lon":74.55,"tz_offset_hours":5.5,"state":"Rajasthan","country":"IN","tier":"tirtha"},"sunriseLocal":"06:34","sunsetLocal":"17:58","solarNoonLocal":"12:16","dayLengthHours":11.40996712631364,"dayLengthDisplay":"11 Hours 24 Mins 36 Secs","nightLengthDisplay":"12 Hours 35 Mins 24 Secs","moonriseLocal":"17:45","moonsetLocal":"06:30","rahuKala":{"name":"Rāhu Kāla","start":"12:16","end":"13:42","startHours":12.266176323888256,"endHours":13.69242221467746,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:59","end":"09:25","startHours":7.98743865152064,"endHours":9.413684542309845,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:50","end":"12:16","startHours":10.83993043309905,"endHours":12.266176323888256,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:13","end":"09:36","startHours":9.223518423537952,"endHours":9.60385066108174,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:02","end":"07:20","startHours":7.03660805766117,"endHours":7.3408738476962005,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:39","startHours":11.885844086344466,"endHours":12.646508561432043,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:02","end":"05:48","startHours":5.039863810556283,"endHours":5.80052828564386,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:37","end":"06:34","startHours":5.610362166871965,"endHours":6.561192760731435,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:10","end":"14:56","startHours":14.167837511607196,"endHours":14.928501986694773,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:46","end":"18:10","startHours":17.771159887045076,"endHours":18.171159887045075,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:58","end":"18:27","startHours":17.971159887045076,"endHours":18.44657518397481,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:43","end":"19:28","startHours":17.721159887045076,"endHours":19.471159887045076,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:39","startHours":23.885844086344466,"endHours":24.64650856143204,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:34","end":"07:59","startHours":6.561192760731435,"endHours":7.98743865152064,"quality":"auspicious"},{"name":"Amṛta","start":"07:59","end":"09:25","startHours":7.98743865152064,"endHours":9.413684542309845,"quality":"auspicious"},{"name":"Kāla","start":"09:25","end":"10:50","startHours":9.413684542309845,"endHours":10.83993043309905,"quality":"inauspicious"},{"name":"Śubha","start":"10:50","end":"12:16","startHours":10.83993043309905,"endHours":12.266176323888256,"quality":"auspicious"},{"name":"Roga","start":"12:16","end":"13:42","startHours":12.266176323888256,"endHours":13.69242221467746,"quality":"inauspicious"},{"name":"Udveg","start":"13:42","end":"15:07","startHours":13.69242221467746,"endHours":15.118668105466666,"quality":"inauspicious"},{"name":"Chala","start":"15:07","end":"16:33","startHours":15.118668105466666,"endHours":16.544913996255872,"quality":"neutral"},{"name":"Labha","start":"16:33","end":"17:58","startHours":16.544913996255872,"endHours":17.971159887045076,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:58","end":"19:33","startHours":17.971159887045076,"endHours":19.544913996255872,"quality":"inauspicious"},{"name":"Chala","start":"19:33","end":"21:07","startHours":19.544913996255872,"endHours":21.118668105466664,"quality":"neutral"},{"name":"Labha","start":"21:07","end":"22:42","startHours":21.118668105466664,"endHours":22.69242221467746,"quality":"auspicious"},{"name":"Amṛta","start":"22:42","end":"00:16","startHours":22.69242221467746,"endHours":24.266176323888256,"quality":"auspicious"},{"name":"Kāla","start":"00:16","end":"01:50","startHours":24.266176323888256,"endHours":25.83993043309905,"quality":"inauspicious"},{"name":"Śubha","start":"01:50","end":"03:25","startHours":25.83993043309905,"endHours":27.413684542309845,"quality":"auspicious"},{"name":"Roga","start":"03:25","end":"04:59","startHours":27.413684542309845,"endHours":28.98743865152064,"quality":"inauspicious"},{"name":"Udveg","start":"04:59","end":"06:34","startHours":28.98743865152064,"endHours":30.561192760731437,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:34","end":"07:34","startHours":6.561192760731435,"endHours":7.561192760731435,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:34","end":"08:34","startHours":7.561192760731435,"endHours":8.561192760731435,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:34","end":"09:34","startHours":8.561192760731435,"endHours":9.561192760731435,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:34","end":"10:34","startHours":9.561192760731435,"endHours":10.561192760731435,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:34","end":"11:34","startHours":10.561192760731435,"endHours":11.561192760731435,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:34","end":"12:34","startHours":11.561192760731435,"endHours":12.561192760731435,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:34","end":"13:34","startHours":12.561192760731435,"endHours":13.561192760731435,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:34","end":"14:34","startHours":13.561192760731435,"endHours":14.561192760731435,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:34","end":"15:34","startHours":14.561192760731435,"endHours":15.561192760731435,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:34","end":"16:34","startHours":15.561192760731435,"endHours":16.561192760731437,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:34","end":"17:34","startHours":16.561192760731437,"endHours":17.561192760731437,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:34","end":"18:34","startHours":17.561192760731437,"endHours":18.561192760731437,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:34","end":"19:34","startHours":18.561192760731437,"endHours":19.561192760731437,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:34","end":"20:34","startHours":19.561192760731437,"endHours":20.561192760731437,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:34","end":"21:34","startHours":20.561192760731437,"endHours":21.561192760731437,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:34","end":"22:34","startHours":21.561192760731437,"endHours":22.561192760731437,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:34","end":"23:34","startHours":22.561192760731437,"endHours":23.561192760731437,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:34","end":"00:34","startHours":23.561192760731437,"endHours":24.561192760731437,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:34","end":"01:34","startHours":24.561192760731437,"endHours":25.561192760731437,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:34","end":"02:34","startHours":25.561192760731437,"endHours":26.561192760731437,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:34","end":"03:34","startHours":26.561192760731437,"endHours":27.561192760731437,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:34","end":"04:34","startHours":27.561192760731437,"endHours":28.561192760731437,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:34","end":"05:34","startHours":28.561192760731437,"endHours":29.561192760731437,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:34","end":"06:34","startHours":29.561192760731437,"endHours":30.561192760731437,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-10.64665578779128,"eotMinutes":15.829420566704727,"ayanamsa":23.3613}},"calendars":{"vikram_samvat":2021,"vikram_samvatsara":"Piṅgala","saka_samvat":1886,"saka_samvatsara":"Krodhi","bengali_samvat":1371,"malayalam_era":1140,"nanakshahi_year":495,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Pūrṇimā · Vikram 2021 Piṅgala · Śaka 1886 Krodhi"},"festivals":[{"id":"sharad-purnima","name":"Śarad Pūrṇimā / Kojāgarī Pūrṇimā","name_sanskrit":"शरद पूर्णिमा","tradition":"Vaishnava","associated_deity":"Krishna + Lakṣmī","significance":"Krishna's Mahā-rāsa with the gopīs at Vṛndāvana. Lakṣmī wakes (\"ko jāgartti?\")","vrata":true,"primary_observance":"Night-long jāgaraṇa; offering of pāyasa under moonlight","detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":2,"sources":["Bhāgavata 10.29-33"]},{"id":"rasa-purnima","name":"Rāsa Pūrṇimā (Vraja Mahā-Rāsa)","name_sanskrit":"रास पूर्णिमा","tradition":"Vaishnava","associated_deity":"Krishna + Gopīs","significance":"Krishna's Mahā-rāsa with the gopīs at Vraja (Bhāgavata 10.29-33). Same as Śarad Pūrṇimā but emphasized in Vraja tradition.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":2},{"id":"valmiki-jayanti","name":"Mahārṣi Vālmīki Jayantī","name_sanskrit":"महर्षि वाल्मीकि जयन्ती","tradition":"Pan-Hindu","associated_deity":"Maharṣi Vālmīki (ādi-kavi)","significance":"Composer of Vālmīki Rāmāyaṇa. Āśvina Pūrṇimā tradition.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":3}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"pushkar"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 21, 1964 CE · Puṣkar · Vidhyamitra","description":"October 21, 1964 CE for Puṣkar: Śukla Pūrṇimā, sūryodaya 06:34, sūryāsta 17:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/pushkar/1964-10-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/pushkar/1964-10-21","sa":"https://sa.vidhyamitra.com/city/pushkar/1964-10-21","hi":"https://hi.vidhyamitra.com/city/pushkar/1964-10-21","x-default":"https://vidhyamitra.com/city/pushkar/1964-10-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T10:02:40.584Z","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":"2026-06-01T10:02:40.584Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T10:02:40.584Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}