{"id":"vidhyamitra:city-day:dwarka:2033-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/dwarka/2033-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2033-01-13","date_display":"January 13, 2033 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":2033,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463610.770833,"kali_year":5134,"ahargana":1875145.2708,"sun":{"sidereal_longitude":268.6346,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":59.6754,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.0408,"elapsed_within_tithi_degrees":7.0408},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":59.6754,"elapsed_within_degrees":6.3421},"yoga":{"number":25,"name":"Brahma","sum_longitude":328.31},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2033,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463610.770833,"ahargana":1875145.2708,"kali_year":5134,"ayanamsa_lahiri":24.3145,"grahas":{"sun":{"sidereal_longitude":268.84170900000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":59.44280900000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false,"latitude":-3.6345},"mars":{"sidereal_longitude":201.030209,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":268.45490900000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":284.7890090000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"venus":{"sidereal_longitude":315.455609,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":67.59440899999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":185.7797,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":5.7797,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":2033,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463610.770833,"kali_year":5134,"ahargana":1875145.2708,"sun":{"sidereal_longitude":268.6346,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":59.6754,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.0408,"elapsed_within_tithi_degrees":7.0408},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":59.6754,"elapsed_within_degrees":6.3421},"yoga":{"number":25,"name":"Brahma","sum_longitude":328.31},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.634,"elongation":151.041},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.634,"opposition_distance":28.959}},"eclipse_window_40days":[]},"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":"18:30","solarNoonLocal":"13:03","dayLengthHours":10.897781264963871,"dayLengthDisplay":"10 Hours 53 Mins 52 Secs","nightLengthDisplay":"13 Hours 06 Mins 08 Secs","moonriseLocal":"16:22","moonsetLocal":"05:49","rahuKala":{"name":"Rāhu Kāla","start":"14:24","end":"15:46","startHours":14.408248182976712,"endHours":15.770470841097197,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:36","end":"08:58","startHours":7.597134892374292,"endHours":8.959357550494776,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:19","end":"11:41","startHours":10.32158020861526,"endHours":11.683802866735745,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:08","end":"10:30","startHours":10.139950520865863,"endHours":10.503209896364659,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:03","end":"08:21","startHours":8.051209111747786,"endHours":8.341816612146824,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:41","end":"13:25","startHours":12.682766149357432,"endHours":13.409284900355024,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:09","end":"06:52","startHours":6.144097390379109,"endHours":6.870616141376701,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:41","end":"07:36","startHours":6.688986453627303,"endHours":7.597134892374292,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:52","end":"15:35","startHours":14.862322402350207,"endHours":15.588841153347799,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:18","end":"18:42","startHours":18.294916157338164,"endHours":18.694916157338163,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:30","end":"18:57","startHours":18.494916157338164,"endHours":18.94899037671166,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:15","end":"20:00","startHours":18.244916157338164,"endHours":19.994916157338164,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:41","end":"01:25","startHours":24.68276614935743,"endHours":25.409284900355022,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:36","end":"08:58","startHours":7.597134892374292,"endHours":8.959357550494776,"quality":"auspicious"},{"name":"Roga","start":"08:58","end":"10:19","startHours":8.959357550494776,"endHours":10.32158020861526,"quality":"inauspicious"},{"name":"Udveg","start":"10:19","end":"11:41","startHours":10.32158020861526,"endHours":11.683802866735745,"quality":"inauspicious"},{"name":"Chala","start":"11:41","end":"13:03","startHours":11.683802866735745,"endHours":13.046025524856228,"quality":"neutral"},{"name":"Labha","start":"13:03","end":"14:24","startHours":13.046025524856228,"endHours":14.408248182976712,"quality":"auspicious"},{"name":"Amṛta","start":"14:24","end":"15:46","startHours":14.408248182976712,"endHours":15.770470841097197,"quality":"auspicious"},{"name":"Kāla","start":"15:46","end":"17:08","startHours":15.770470841097197,"endHours":17.13269349921768,"quality":"inauspicious"},{"name":"Śubha","start":"17:08","end":"18:30","startHours":17.13269349921768,"endHours":18.494916157338164,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:30","end":"20:08","startHours":18.494916157338164,"endHours":20.13269349921768,"quality":"auspicious"},{"name":"Kāla","start":"20:08","end":"21:46","startHours":20.13269349921768,"endHours":21.770470841097197,"quality":"inauspicious"},{"name":"Śubha","start":"21:46","end":"23:24","startHours":21.770470841097197,"endHours":23.408248182976713,"quality":"auspicious"},{"name":"Roga","start":"23:24","end":"01:03","startHours":23.408248182976713,"endHours":25.046025524856226,"quality":"inauspicious"},{"name":"Udveg","start":"01:03","end":"02:41","startHours":25.046025524856226,"endHours":26.683802866735746,"quality":"inauspicious"},{"name":"Chala","start":"02:41","end":"04:19","startHours":26.683802866735746,"endHours":28.32158020861526,"quality":"neutral"},{"name":"Labha","start":"04:19","end":"05:58","startHours":28.32158020861526,"endHours":29.959357550494776,"quality":"auspicious"},{"name":"Amṛta","start":"05:58","end":"07:36","startHours":29.959357550494776,"endHours":31.597134892374292,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:36","end":"08:36","startHours":7.597134892374292,"endHours":8.597134892374292,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:36","end":"09:36","startHours":8.597134892374292,"endHours":9.597134892374292,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:36","end":"10:36","startHours":9.597134892374292,"endHours":10.597134892374292,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:36","end":"11:36","startHours":10.597134892374292,"endHours":11.597134892374292,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:36","end":"12:36","startHours":11.597134892374292,"endHours":12.597134892374292,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:36","end":"13:36","startHours":12.597134892374292,"endHours":13.597134892374292,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:36","end":"14:36","startHours":13.597134892374292,"endHours":14.597134892374292,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:36","end":"15:36","startHours":14.597134892374292,"endHours":15.597134892374292,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:36","end":"16:36","startHours":15.597134892374292,"endHours":16.597134892374292,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:36","end":"17:36","startHours":16.597134892374292,"endHours":17.597134892374292,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:36","end":"18:36","startHours":17.597134892374292,"endHours":18.597134892374292,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:36","end":"19:36","startHours":18.597134892374292,"endHours":19.597134892374292,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:36","end":"20:36","startHours":19.597134892374292,"endHours":20.597134892374292,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:36","end":"21:36","startHours":20.597134892374292,"endHours":21.597134892374292,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:36","end":"22:36","startHours":21.597134892374292,"endHours":22.597134892374292,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:36","end":"23:36","startHours":22.597134892374292,"endHours":23.597134892374292,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:36","end":"00:36","startHours":23.597134892374292,"endHours":24.597134892374292,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:36","end":"01:36","startHours":24.597134892374292,"endHours":25.597134892374292,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:36","end":"02:36","startHours":25.597134892374292,"endHours":26.597134892374292,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:36","end":"03:36","startHours":26.597134892374292,"endHours":27.597134892374292,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:36","end":"04:36","startHours":27.597134892374292,"endHours":28.597134892374292,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:36","end":"05:36","startHours":28.597134892374292,"endHours":29.597134892374292,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:36","end":"06:36","startHours":29.597134892374292,"endHours":30.597134892374292,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:36","end":"07:36","startHours":30.597134892374292,"endHours":31.597134892374292,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-21.45002842853207,"eotMinutes":-8.635931491373626,"ayanamsa":24.3145}},"calendars":{"vikram_samvat":2090,"vikram_samvatsara":"Akṣaya","saka_samvat":1955,"saka_samvatsara":"Pramādī","bengali_samvat":1440,"malayalam_era":1209,"nanakshahi_year":564,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Trayodaśī · Vikram 2090 Akṣaya · Śaka 1955 Pramādī"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5},{"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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 13, 2033 CE · Dvārakā · Vidhyamitra","description":"January 13, 2033 CE for Dvārakā: Śukla Trayodaśī, sūryodaya 07:36, sūryāsta 18:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/dwarka/2033-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/dwarka/2033-01-13","sa":"https://sa.vidhyamitra.com/city/dwarka/2033-01-13","hi":"https://hi.vidhyamitra.com/city/dwarka/2033-01-13","x-default":"https://vidhyamitra.com/city/dwarka/2033-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T12:52:05.440Z","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":"2026-05-15T12:52:05.440Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T12:52:05.440Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}