{"id":"vidhyamitra:city-day:dwarka:2045-01-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/dwarka/2045-01-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-01-16","date_display":"January 16, 2045 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":2045,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467996.770833,"kali_year":5146,"ahargana":1879531.2708,"sun":{"sidereal_longitude":271.6076,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":247.5925,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":335.9849,"elapsed_within_tithi_degrees":11.9849},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":247.5925,"elapsed_within_degrees":7.5925},"yoga":{"number":12,"name":"Dhruva","sum_longitude":159.2001},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":2045,"month":1,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2467996.770833,"ahargana":1879531.2708,"kali_year":5146,"ayanamsa_lahiri":24.4822,"grahas":{"sun":{"sidereal_longitude":271.818132,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":248.59823200000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false,"latitude":-4.1037},"mars":{"sidereal_longitude":295.302232,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":259.1207320000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":289.51263199999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"venus":{"sidereal_longitude":256.175432,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":223.209432,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":313.3883,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":133.3883,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":2045,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467996.770833,"kali_year":5146,"ahargana":1879531.2708,"sun":{"sidereal_longitude":271.6076,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":247.5925,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":335.9849,"elapsed_within_tithi_degrees":11.9849},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":247.5925,"elapsed_within_degrees":7.5925},"yoga":{"number":12,"name":"Dhruva","sum_longitude":159.2001},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.104,"elongation":24.015},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.104,"opposition_distance":155.985}},"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":"18:32","solarNoonLocal":"13:04","dayLengthHours":10.932812272396301,"dayLengthDisplay":"10 Hours 55 Mins 58 Secs","nightLengthDisplay":"13 Hours 04 Mins 02 Secs","moonriseLocal":"06:09","moonsetLocal":"16:53","rahuKala":{"name":"Rāhu Kāla","start":"08:58","end":"10:20","startHours":8.96383709021435,"endHours":10.330438624263888,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:42","end":"13:04","startHours":11.697040158313424,"endHours":13.063641692362964,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:26","end":"15:48","startHours":14.4302432264125,"endHours":15.796844760462037,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:09","end":"10:31","startHours":10.148225086390616,"endHours":10.51265216213716,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:03","end":"08:21","startHours":8.05276940084799,"endHours":8.344311061445225,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:42","end":"13:26","startHours":12.699214616616418,"endHours":13.428068768109506,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:08","end":"06:52","startHours":6.139527253178639,"endHours":6.868381404671726,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:41","end":"07:36","startHours":6.686167866798454,"endHours":7.597235556164812,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:53","end":"15:37","startHours":14.88577707109568,"endHours":15.614631222588766,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:20","end":"18:44","startHours":18.330047828561113,"endHours":18.730047828561112,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:32","end":"18:59","startHours":18.530047828561113,"endHours":18.98558167324429,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:17","end":"20:02","startHours":18.280047828561113,"endHours":20.030047828561113,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:42","end":"01:26","startHours":24.69921461661642,"endHours":25.428068768109508,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:36","end":"08:58","startHours":7.597235556164812,"endHours":8.96383709021435,"quality":"auspicious"},{"name":"Kāla","start":"08:58","end":"10:20","startHours":8.96383709021435,"endHours":10.330438624263888,"quality":"inauspicious"},{"name":"Śubha","start":"10:20","end":"11:42","startHours":10.330438624263888,"endHours":11.697040158313424,"quality":"auspicious"},{"name":"Roga","start":"11:42","end":"13:04","startHours":11.697040158313424,"endHours":13.063641692362964,"quality":"inauspicious"},{"name":"Udveg","start":"13:04","end":"14:26","startHours":13.063641692362964,"endHours":14.4302432264125,"quality":"inauspicious"},{"name":"Chala","start":"14:26","end":"15:48","startHours":14.4302432264125,"endHours":15.796844760462037,"quality":"neutral"},{"name":"Labha","start":"15:48","end":"17:10","startHours":15.796844760462037,"endHours":17.163446294511576,"quality":"auspicious"},{"name":"Amṛta","start":"17:10","end":"18:32","startHours":17.163446294511576,"endHours":18.530047828561113,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:32","end":"20:10","startHours":18.530047828561113,"endHours":20.163446294511576,"quality":"neutral"},{"name":"Labha","start":"20:10","end":"21:48","startHours":20.163446294511576,"endHours":21.796844760462037,"quality":"auspicious"},{"name":"Amṛta","start":"21:48","end":"23:26","startHours":21.796844760462037,"endHours":23.4302432264125,"quality":"auspicious"},{"name":"Kāla","start":"23:26","end":"01:04","startHours":23.4302432264125,"endHours":25.063641692362964,"quality":"inauspicious"},{"name":"Śubha","start":"01:04","end":"02:42","startHours":25.063641692362964,"endHours":26.697040158313424,"quality":"auspicious"},{"name":"Roga","start":"02:42","end":"04:20","startHours":26.697040158313424,"endHours":28.330438624263888,"quality":"inauspicious"},{"name":"Udveg","start":"04:20","end":"05:58","startHours":28.330438624263888,"endHours":29.963837090214348,"quality":"inauspicious"},{"name":"Chala","start":"05:58","end":"07:36","startHours":29.963837090214348,"endHours":31.59723555616481,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:36","end":"08:36","startHours":7.597235556164812,"endHours":8.597235556164811,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:36","end":"09:36","startHours":8.597235556164811,"endHours":9.597235556164811,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:36","end":"10:36","startHours":9.597235556164811,"endHours":10.597235556164811,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:36","end":"11:36","startHours":10.597235556164811,"endHours":11.597235556164811,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:36","end":"12:36","startHours":11.597235556164811,"endHours":12.597235556164811,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:36","end":"13:36","startHours":12.597235556164811,"endHours":13.597235556164811,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:36","end":"14:36","startHours":13.597235556164811,"endHours":14.597235556164811,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:36","end":"15:36","startHours":14.597235556164811,"endHours":15.597235556164811,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:36","end":"16:36","startHours":15.597235556164811,"endHours":16.59723555616481,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:36","end":"17:36","startHours":16.59723555616481,"endHours":17.59723555616481,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:36","end":"18:36","startHours":17.59723555616481,"endHours":18.59723555616481,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:36","end":"19:36","startHours":18.59723555616481,"endHours":19.59723555616481,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:36","end":"20:36","startHours":19.59723555616481,"endHours":20.59723555616481,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:36","end":"21:36","startHours":20.59723555616481,"endHours":21.59723555616481,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:36","end":"22:36","startHours":21.59723555616481,"endHours":22.59723555616481,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:36","end":"23:36","startHours":22.59723555616481,"endHours":23.59723555616481,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:36","end":"00:36","startHours":23.59723555616481,"endHours":24.59723555616481,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:36","end":"01:36","startHours":24.59723555616481,"endHours":25.59723555616481,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:36","end":"02:36","startHours":25.59723555616481,"endHours":26.59723555616481,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:36","end":"03:36","startHours":26.59723555616481,"endHours":27.59723555616481,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:36","end":"04:36","startHours":27.59723555616481,"endHours":28.59723555616481,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:36","end":"05:36","startHours":28.59723555616481,"endHours":29.59723555616481,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:36","end":"06:36","startHours":29.59723555616481,"endHours":30.59723555616481,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:36","end":"07:36","startHours":30.59723555616481,"endHours":31.59723555616481,"planetary_lord":"Venus"}],"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":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.889128470849542,"eotMinutes":-9.692901541777706,"ayanamsa":24.4822}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","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":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Trayodaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"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":"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":"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 16, 2045 CE · Dvārakā · Vidhyamitra","description":"January 16, 2045 CE for Dvārakā: Kṛṣṇa Trayodaśī, sūryodaya 07:36, sūryāsta 18:32.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/dwarka/2045-01-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/dwarka/2045-01-16","sa":"https://sa.vidhyamitra.com/city/dwarka/2045-01-16","hi":"https://hi.vidhyamitra.com/city/dwarka/2045-01-16","x-default":"https://vidhyamitra.com/city/dwarka/2045-01-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T16:12:54.273Z","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":"2026-05-31T16:12:54.273Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T16:12:54.273Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}