{"id":"vidhyamitra:city-day:vrindavan:2111-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2111-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2111-01-13","date_display":"January 13, 2111 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":2111,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492098.770833,"kali_year":5212,"ahargana":1903633.2708,"sun":{"sidereal_longitude":266.3918,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":305.9368,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":39.545,"elapsed_within_tithi_degrees":3.545},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":305.9368,"elapsed_within_degrees":12.6035},"yoga":{"number":16,"name":"Siddhi","sum_longitude":212.3286},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"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":2111,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2492098.770833,"ahargana":1903633.2708,"kali_year":5212,"ayanamsa_lahiri":25.404,"grahas":{"sun":{"sidereal_longitude":266.800258,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":308.4662579999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":-0.7488},"mars":{"sidereal_longitude":315.0360579999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":253.388058,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":150.625858,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":291.423358,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":294.7470579999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":116.3484,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":296.3484,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":2111,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492098.770833,"kali_year":5212,"ahargana":1903633.2708,"sun":{"sidereal_longitude":266.3918,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":305.9368,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":39.545,"elapsed_within_tithi_degrees":3.545},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":305.9368,"elapsed_within_degrees":12.6035},"yoga":{"number":16,"name":"Siddhi","sum_longitude":212.3286},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.749,"elongation":39.545},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.749,"opposition_distance":140.455}},"eclipse_window_40days":[{"offset_days":12,"type":"lunar","occurs":true,"moon_latitude":-1.299,"opposition_distance":0.207}]},"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":"07:12","sunsetLocal":"17:44","solarNoonLocal":"12:28","dayLengthHours":10.546533215612367,"dayLengthDisplay":"10 Hours 32 Mins 48 Secs","nightLengthDisplay":"13 Hours 27 Mins 12 Secs","moonriseLocal":"09:33","moonsetLocal":"20:56","rahuKala":{"name":"Rāhu Kāla","start":"15:06","end":"16:25","startHours":15.103278828759318,"endHours":16.421595480710863,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:50","end":"11:09","startHours":9.830012220953137,"endHours":11.148328872904681,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:28","end":"13:47","startHours":12.466645524856228,"endHours":13.784962176807774,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.654236667359596,"endHours":10.005787774546675,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.632817801033893,"endHours":7.914058686783556,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.115094417669148,"endHours":12.818196632043307,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.787174488301728,"endHours":6.490276702675886,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:12","startHours":6.314501149082346,"endHours":7.193378917050044,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:56","startHours":14.224401060791621,"endHours":14.927503275165778,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:32","end":"17:56","startHours":17.539912132662412,"endHours":17.93991213266241,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:44","end":"18:11","startHours":17.73991213266241,"endHours":18.179351016646258,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:29","end":"19:14","startHours":17.48991213266241,"endHours":19.23991213266241,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.115094417669148,"endHours":24.818196632043303,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:12","end":"08:31","startHours":7.193378917050044,"endHours":8.51169556900159,"quality":"inauspicious"},{"name":"Udveg","start":"08:31","end":"09:50","startHours":8.51169556900159,"endHours":9.830012220953137,"quality":"inauspicious"},{"name":"Chala","start":"09:50","end":"11:09","startHours":9.830012220953137,"endHours":11.148328872904681,"quality":"neutral"},{"name":"Labha","start":"11:09","end":"12:28","startHours":11.148328872904681,"endHours":12.466645524856228,"quality":"auspicious"},{"name":"Amṛta","start":"12:28","end":"13:47","startHours":12.466645524856228,"endHours":13.784962176807774,"quality":"auspicious"},{"name":"Kāla","start":"13:47","end":"15:06","startHours":13.784962176807774,"endHours":15.103278828759318,"quality":"inauspicious"},{"name":"Śubha","start":"15:06","end":"16:25","startHours":15.103278828759318,"endHours":16.421595480710863,"quality":"auspicious"},{"name":"Roga","start":"16:25","end":"17:44","startHours":16.421595480710863,"endHours":17.73991213266241,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:44","end":"19:25","startHours":17.73991213266241,"endHours":19.421595480710867,"quality":"inauspicious"},{"name":"Śubha","start":"19:25","end":"21:06","startHours":19.421595480710867,"endHours":21.10327882875932,"quality":"auspicious"},{"name":"Roga","start":"21:06","end":"22:47","startHours":21.10327882875932,"endHours":22.784962176807774,"quality":"inauspicious"},{"name":"Udveg","start":"22:47","end":"00:28","startHours":22.784962176807774,"endHours":24.466645524856226,"quality":"inauspicious"},{"name":"Chala","start":"00:28","end":"02:09","startHours":24.466645524856226,"endHours":26.14832887290468,"quality":"neutral"},{"name":"Labha","start":"02:09","end":"03:50","startHours":26.14832887290468,"endHours":27.830012220953137,"quality":"auspicious"},{"name":"Amṛta","start":"03:50","end":"05:31","startHours":27.830012220953137,"endHours":29.51169556900159,"quality":"auspicious"},{"name":"Kāla","start":"05:31","end":"07:12","startHours":29.51169556900159,"endHours":31.193378917050044,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:12","end":"08:12","startHours":7.193378917050044,"endHours":8.193378917050044,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:12","end":"09:12","startHours":8.193378917050044,"endHours":9.193378917050044,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:12","end":"10:12","startHours":9.193378917050044,"endHours":10.193378917050044,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:12","end":"11:12","startHours":10.193378917050044,"endHours":11.193378917050044,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:12","end":"12:12","startHours":11.193378917050044,"endHours":12.193378917050044,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:12","end":"13:12","startHours":12.193378917050044,"endHours":13.193378917050044,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:12","end":"14:12","startHours":13.193378917050044,"endHours":14.193378917050044,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:12","end":"15:12","startHours":14.193378917050044,"endHours":15.193378917050044,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:12","end":"16:12","startHours":15.193378917050044,"endHours":16.193378917050044,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:12","end":"17:12","startHours":16.193378917050044,"endHours":17.193378917050044,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:12","end":"18:12","startHours":17.193378917050044,"endHours":18.193378917050044,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:12","end":"19:12","startHours":18.193378917050044,"endHours":19.193378917050044,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:12","end":"20:12","startHours":19.193378917050044,"endHours":20.193378917050044,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:12","end":"21:12","startHours":20.193378917050044,"endHours":21.193378917050044,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:12","end":"22:12","startHours":21.193378917050044,"endHours":22.193378917050044,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:12","end":"23:12","startHours":22.193378917050044,"endHours":23.193378917050044,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:12","end":"00:12","startHours":23.193378917050044,"endHours":24.193378917050044,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:12","end":"01:12","startHours":24.193378917050044,"endHours":25.193378917050044,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:12","end":"02:12","startHours":25.193378917050044,"endHours":26.193378917050044,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:12","end":"03:12","startHours":26.193378917050044,"endHours":27.193378917050044,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:12","end":"04:12","startHours":27.193378917050044,"endHours":28.193378917050044,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:12","end":"05:12","startHours":28.193378917050044,"endHours":29.193378917050044,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:12","end":"06:12","startHours":29.193378917050044,"endHours":30.193378917050044,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:12","end":"07:12","startHours":30.193378917050044,"endHours":31.193378917050044,"planetary_lord":"Saturn"}],"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":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.606967562749272,"eotMinutes":-8.635931491373626,"ayanamsa":25.404}},"calendars":{"vikram_samvat":2168,"vikram_samvatsara":"Tāraṇa","saka_samvat":2033,"saka_samvatsara":"Prajāpati","bengali_samvat":1518,"malayalam_era":1287,"nanakshahi_year":642,"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":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Caturthī · Vikram 2168 Tāraṇa · Śaka 2033 Prajāpati"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":[]},"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 January 13, 2111 CE · Vṛndāvana · Vidhyamitra","description":"January 13, 2111 CE for Vṛndāvana: Śukla Caturthī, sūryodaya 07:12, sūryāsta 17:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2111-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2111-01-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2111-01-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2111-01-13","x-default":"https://vidhyamitra.com/city/vrindavan/2111-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T00:14:17.038Z","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":"2026-06-02T00:14:17.038Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T00:14:17.038Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}