{"id":"vidhyamitra:city-day:vrindavan:2076-01-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2076-01-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2076-01-18","date_display":"January 18, 2076 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":2076,"month":1,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479320.770833,"kali_year":5177,"ahargana":1890855.2708,"sun":{"sidereal_longitude":272.6122,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":57.1024,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":144.4902,"elapsed_within_tithi_degrees":0.4902},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":57.1024,"elapsed_within_degrees":3.769},"yoga":{"number":25,"name":"Brahma","sum_longitude":329.7146},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2076,"month":1,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479320.770833,"ahargana":1890855.2708,"kali_year":5177,"ayanamsa_lahiri":24.9153,"grahas":{"sun":{"sidereal_longitude":272.8875720000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":58.761472000000026,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false,"latitude":-1.2607},"mars":{"sidereal_longitude":160.035172,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":248.324572,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":168.237972,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"venus":{"sidereal_longitude":312.90437199999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":239.38987199999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":73.3883,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":253.3883,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2076,"month":1,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479320.770833,"kali_year":5177,"ahargana":1890855.2708,"sun":{"sidereal_longitude":272.6122,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":57.1024,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":144.4902,"elapsed_within_tithi_degrees":0.4902},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":57.1024,"elapsed_within_degrees":3.769},"yoga":{"number":25,"name":"Brahma","sum_longitude":329.7146},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.261,"elongation":144.49},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.261,"opposition_distance":35.51}},"eclipse_window_40days":[]},"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":"07:11","sunsetLocal":"17:49","solarNoonLocal":"12:30","dayLengthHours":10.627651760316203,"dayLengthDisplay":"10 Hours 37 Mins 40 Secs","nightLengthDisplay":"13 Hours 22 Mins 20 Secs","moonriseLocal":"15:18","moonsetLocal":"05:08","rahuKala":{"name":"Rāhu Kāla","start":"09:50","end":"11:10","startHours":9.838287552949112,"endHours":11.166744022988636,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:49","end":"15:09","startHours":13.823656963067688,"endHours":15.152113433107212,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:11","end":"08:31","startHours":7.18137461287006,"endHours":8.509831082909585,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.661160023610508,"endHours":10.015415082287713,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.624193436216569,"endHours":7.907597483158334,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:51","startHours":12.140945434350954,"endHours":12.849455551705368,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:28","startHours":5.764354378161233,"endHours":6.472864495515647,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.295736966177044,"endHours":7.18137461287006,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"14:58","startHours":14.266475786414196,"endHours":14.974985903768609,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:37","end":"18:01","startHours":17.609026373186264,"endHours":18.009026373186263,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:49","end":"18:15","startHours":17.809026373186263,"endHours":18.251845196532773,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:34","end":"19:19","startHours":17.559026373186263,"endHours":19.309026373186263,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:51","startHours":24.140945434350954,"endHours":24.84945555170537,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:11","end":"08:31","startHours":7.18137461287006,"endHours":8.509831082909585,"quality":"inauspicious"},{"name":"Śubha","start":"08:31","end":"09:50","startHours":8.509831082909585,"endHours":9.838287552949112,"quality":"auspicious"},{"name":"Roga","start":"09:50","end":"11:10","startHours":9.838287552949112,"endHours":11.166744022988636,"quality":"inauspicious"},{"name":"Udveg","start":"11:10","end":"12:30","startHours":11.166744022988636,"endHours":12.495200493028161,"quality":"inauspicious"},{"name":"Chala","start":"12:30","end":"13:49","startHours":12.495200493028161,"endHours":13.823656963067688,"quality":"neutral"},{"name":"Labha","start":"13:49","end":"15:09","startHours":13.823656963067688,"endHours":15.152113433107212,"quality":"auspicious"},{"name":"Amṛta","start":"15:09","end":"16:29","startHours":15.152113433107212,"endHours":16.480569903146737,"quality":"auspicious"},{"name":"Kāla","start":"16:29","end":"17:49","startHours":16.480569903146737,"endHours":17.809026373186263,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:49","end":"19:29","startHours":17.809026373186263,"endHours":19.480569903146737,"quality":"auspicious"},{"name":"Amṛta","start":"19:29","end":"21:09","startHours":19.480569903146737,"endHours":21.152113433107214,"quality":"auspicious"},{"name":"Kāla","start":"21:09","end":"22:49","startHours":21.152113433107214,"endHours":22.823656963067688,"quality":"inauspicious"},{"name":"Śubha","start":"22:49","end":"00:30","startHours":22.823656963067688,"endHours":24.49520049302816,"quality":"auspicious"},{"name":"Roga","start":"00:30","end":"02:10","startHours":24.49520049302816,"endHours":26.166744022988638,"quality":"inauspicious"},{"name":"Udveg","start":"02:10","end":"03:50","startHours":26.166744022988638,"endHours":27.83828755294911,"quality":"inauspicious"},{"name":"Chala","start":"03:50","end":"05:31","startHours":27.83828755294911,"endHours":29.509831082909585,"quality":"neutral"},{"name":"Labha","start":"05:31","end":"07:11","startHours":29.509831082909585,"endHours":31.18137461287006,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.18137461287006,"endHours":8.18137461287006,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.18137461287006,"endHours":9.18137461287006,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.18137461287006,"endHours":10.18137461287006,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.18137461287006,"endHours":11.18137461287006,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.18137461287006,"endHours":12.18137461287006,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.18137461287006,"endHours":13.18137461287006,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.18137461287006,"endHours":14.18137461287006,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.18137461287006,"endHours":15.18137461287006,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.18137461287006,"endHours":16.18137461287006,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.18137461287006,"endHours":17.18137461287006,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.18137461287006,"endHours":18.18137461287006,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.18137461287006,"endHours":19.18137461287006,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.18137461287006,"endHours":20.18137461287006,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.18137461287006,"endHours":21.18137461287006,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.18137461287006,"endHours":22.18137461287006,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.18137461287006,"endHours":23.18137461287006,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.18137461287006,"endHours":24.18137461287006,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.18137461287006,"endHours":25.18137461287006,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.18137461287006,"endHours":26.18137461287006,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.18137461287006,"endHours":27.18137461287006,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.18137461287006,"endHours":28.18137461287006,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.18137461287006,"endHours":29.18137461287006,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.18137461287006,"endHours":30.18137461287006,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.18137461287006,"endHours":31.18137461287006,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.598507799696655,"eotMinutes":-10.349229581689698,"ayanamsa":24.9153}},"calendars":{"vikram_samvat":2133,"vikram_samvatsara":"Saumya","saka_samvat":1998,"saka_samvatsara":"Durmukhi","bengali_samvat":1483,"malayalam_era":1252,"nanakshahi_year":607,"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 2133 Saumya · Śaka 1998 Durmukhi"},"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 18, 2076 CE · Vṛndāvana · Vidhyamitra","description":"January 18, 2076 CE for Vṛndāvana: Śukla Trayodaśī, sūryodaya 07:11, sūryāsta 17:49.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2076-01-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2076-01-18","sa":"https://sa.vidhyamitra.com/city/vrindavan/2076-01-18","hi":"https://hi.vidhyamitra.com/city/vrindavan/2076-01-18","x-default":"https://vidhyamitra.com/city/vrindavan/2076-01-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T19:35:34.422Z","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":"2026-05-31T19:35:34.423Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T19:35:34.423Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}