{"id":"vidhyamitra:city-day:dwarka:1769-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/dwarka/1769-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1769-01-20","date_display":"January 20, 1769 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":1769,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2367193.770833,"kali_year":4870,"ahargana":1778728.2708,"sun":{"sidereal_longitude":280.2407,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":74.4706,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":154.2299,"elapsed_within_tithi_degrees":10.2299},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.4706,"elapsed_within_degrees":7.8039},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":354.7113},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":1769,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2367193.770833,"ahargana":1778728.2708,"kali_year":4870,"ayanamsa_lahiri":20.6269,"grahas":{"sun":{"sidereal_longitude":279.74344700000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":72.00394700000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false,"latitude":-0.0043},"mars":{"sidereal_longitude":23.877947000000006,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":277.09434699999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":212.543547,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":321.1833469999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":85.23044700000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":254.4164,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":74.4164,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"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":1769,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2367193.770833,"kali_year":4870,"ahargana":1778728.2708,"sun":{"sidereal_longitude":280.2407,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":74.4706,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":154.2299,"elapsed_within_tithi_degrees":10.2299},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.4706,"elapsed_within_degrees":7.8039},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":354.7113},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.004,"elongation":154.23},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.004,"opposition_distance":25.77}},"eclipse_window_40days":[{"offset_days":-12,"type":"solar","occurs":true,"moon_latitude":0.897,"elongation":1.368}]},"city":{"slug":"dwarka","name":"Dvārakā","lat":22.2393,"lon":68.9686,"tz_offset_hours":5.5,"state":"Gujarat","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"dwarka","name":"Dvārakā","lat":22.2393,"lon":68.9686,"tz_offset_hours":5.5,"state":"Gujarat","country":"IN","tier":"tirtha"},"sunriseLocal":"07:36","sunsetLocal":"18:35","solarNoonLocal":"13:05","dayLengthHours":10.983540520433408,"dayLengthDisplay":"10 Hours 59 Mins 01 Secs","nightLengthDisplay":"13 Hours 00 Mins 59 Secs","moonriseLocal":"16:31","moonsetLocal":"05:58","rahuKala":{"name":"Rāhu Kāla","start":"11:43","end":"13:05","startHours":11.711889157232982,"endHours":13.084831722287156,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:50","end":"17:12","startHours":15.830716852395508,"endHours":17.203659417449686,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:58","end":"10:20","startHours":8.96600402712463,"endHours":10.338946592178804,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:09","end":"10:31","startHours":10.155887583504914,"endHours":10.522005600852694,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:03","end":"08:21","startHours":8.050708983755179,"endHours":8.343603397633403,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:43","end":"13:27","startHours":12.718713704939375,"endHours":13.450949739634936,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:08","end":"06:52","startHours":6.128589392679332,"endHours":6.860825427374892,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:41","end":"07:36","startHours":6.677766418701002,"endHours":7.593061462070453,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:55","end":"15:39","startHours":14.915421809026057,"endHours":15.647657843721618,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:23","end":"18:47","startHours":18.37660198250386,"endHours":18.77660198250386,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:35","end":"19:02","startHours":18.57660198250386,"endHours":19.034249504188587,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:20","end":"20:05","startHours":18.32660198250386,"endHours":20.07660198250386,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:43","end":"01:27","startHours":24.718713704939375,"endHours":25.450949739634936,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:36","end":"08:58","startHours":7.593061462070453,"endHours":8.96600402712463,"quality":"neutral"},{"name":"Labha","start":"08:58","end":"10:20","startHours":8.96600402712463,"endHours":10.338946592178804,"quality":"auspicious"},{"name":"Amṛta","start":"10:20","end":"11:43","startHours":10.338946592178804,"endHours":11.711889157232982,"quality":"auspicious"},{"name":"Kāla","start":"11:43","end":"13:05","startHours":11.711889157232982,"endHours":13.084831722287156,"quality":"inauspicious"},{"name":"Śubha","start":"13:05","end":"14:27","startHours":13.084831722287156,"endHours":14.457774287341334,"quality":"auspicious"},{"name":"Roga","start":"14:27","end":"15:50","startHours":14.457774287341334,"endHours":15.830716852395508,"quality":"inauspicious"},{"name":"Udveg","start":"15:50","end":"17:12","startHours":15.830716852395508,"endHours":17.203659417449686,"quality":"inauspicious"},{"name":"Chala","start":"17:12","end":"18:35","startHours":17.203659417449686,"endHours":18.57660198250386,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:35","end":"20:12","startHours":18.57660198250386,"endHours":20.203659417449686,"quality":"inauspicious"},{"name":"Udveg","start":"20:12","end":"21:50","startHours":20.203659417449686,"endHours":21.830716852395508,"quality":"inauspicious"},{"name":"Chala","start":"21:50","end":"23:27","startHours":21.830716852395508,"endHours":23.45777428734133,"quality":"neutral"},{"name":"Labha","start":"23:27","end":"01:05","startHours":23.45777428734133,"endHours":25.084831722287156,"quality":"auspicious"},{"name":"Amṛta","start":"01:05","end":"02:43","startHours":25.084831722287156,"endHours":26.71188915723298,"quality":"auspicious"},{"name":"Kāla","start":"02:43","end":"04:20","startHours":26.71188915723298,"endHours":28.338946592178804,"quality":"inauspicious"},{"name":"Śubha","start":"04:20","end":"05:58","startHours":28.338946592178804,"endHours":29.966004027124626,"quality":"auspicious"},{"name":"Roga","start":"05:58","end":"07:36","startHours":29.966004027124626,"endHours":31.59306146207045,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:36","end":"08:36","startHours":7.593061462070453,"endHours":8.593061462070452,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:36","end":"09:36","startHours":8.593061462070452,"endHours":9.593061462070452,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:36","end":"10:36","startHours":9.593061462070452,"endHours":10.593061462070452,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:36","end":"11:36","startHours":10.593061462070452,"endHours":11.593061462070452,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:36","end":"12:36","startHours":11.593061462070452,"endHours":12.593061462070452,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:36","end":"13:36","startHours":12.593061462070452,"endHours":13.593061462070452,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:36","end":"14:36","startHours":13.593061462070452,"endHours":14.593061462070452,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:36","end":"15:36","startHours":14.593061462070452,"endHours":15.593061462070452,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:36","end":"16:36","startHours":15.593061462070452,"endHours":16.59306146207045,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:36","end":"17:36","startHours":16.59306146207045,"endHours":17.59306146207045,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:36","end":"18:36","startHours":17.59306146207045,"endHours":18.59306146207045,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:36","end":"19:36","startHours":18.59306146207045,"endHours":19.59306146207045,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:36","end":"20:36","startHours":19.59306146207045,"endHours":20.59306146207045,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:36","end":"21:36","startHours":20.59306146207045,"endHours":21.59306146207045,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:36","end":"22:36","startHours":21.59306146207045,"endHours":22.59306146207045,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:36","end":"23:36","startHours":22.59306146207045,"endHours":23.59306146207045,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:36","end":"00:36","startHours":23.59306146207045,"endHours":24.59306146207045,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:36","end":"01:36","startHours":24.59306146207045,"endHours":25.59306146207045,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:36","end":"02:36","startHours":25.59306146207045,"endHours":26.59306146207045,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:36","end":"03:36","startHours":26.59306146207045,"endHours":27.59306146207045,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:36","end":"04:36","startHours":27.59306146207045,"endHours":28.59306146207045,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:36","end":"05:36","startHours":28.59306146207045,"endHours":29.59306146207045,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:36","end":"06:36","startHours":29.59306146207045,"endHours":30.59306146207045,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:36","end":"07:36","startHours":30.59306146207045,"endHours":31.59306146207045,"planetary_lord":"Mars"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"South-East","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.06913766458554,"eotMinutes":-10.9643033372293,"ayanamsa":20.6269}},"calendars":{"vikram_samvat":1826,"vikram_samvatsara":"Śubhakṛt","saka_samvat":1691,"saka_samvatsara":"Virodhi","bengali_samvat":1176,"malayalam_era":945,"nanakshahi_year":300,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Trayodaśī · Vikram 1826 Śubhakṛt · Śaka 1691 Virodhi"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"dwarka"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 20, 1769 CE · Dvārakā · Vidhyamitra","description":"January 20, 1769 CE for Dvārakā: Śukla Trayodaśī, sūryodaya 07:36, sūryāsta 18:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/dwarka/1769-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/dwarka/1769-01-20","sa":"https://sa.vidhyamitra.com/city/dwarka/1769-01-20","hi":"https://hi.vidhyamitra.com/city/dwarka/1769-01-20","x-default":"https://vidhyamitra.com/city/dwarka/1769-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T18:12:33.966Z","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":"2026-06-02T18:12:33.966Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T18:12:33.966Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}