{"id":"vidhyamitra:city-day:vrindavan:2107-04-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2107-04-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2107-04-13","date_display":"April 13, 2107 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":2107,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490727.770833,"kali_year":5208,"ahargana":1902262.2708,"sun":{"sidereal_longitude":357.0773,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":242.233,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":245.1558,"elapsed_within_tithi_degrees":5.1558},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":242.233,"elapsed_within_degrees":2.233},"yoga":{"number":18,"name":"Varīyān","sum_longitude":239.3103},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2107,"month":4,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2490727.770833,"ahargana":1902262.2708,"kali_year":5208,"ayanamsa_lahiri":25.3516,"grahas":{"sun":{"sidereal_longitude":357.18354,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":242.04034000000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false,"latitude":3.604},"mars":{"sidereal_longitude":351.94924,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":356.04774,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":23.199340000000007,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":329.51454,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":261.09244,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":188.9906,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":8.9906,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":2107,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490727.770833,"kali_year":5208,"ahargana":1902262.2708,"sun":{"sidereal_longitude":357.0773,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":242.233,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":245.1558,"elapsed_within_tithi_degrees":5.1558},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":242.233,"elapsed_within_degrees":2.233},"yoga":{"number":18,"name":"Varīyān","sum_longitude":239.3103},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.604,"elongation":114.844},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.604,"opposition_distance":65.156}},"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":"05:58","sunsetLocal":"18:42","solarNoonLocal":"12:20","dayLengthHours":12.742997398783167,"dayLengthDisplay":"12 Hours 44 Mins 35 Secs","nightLengthDisplay":"11 Hours 15 Mins 25 Secs","moonriseLocal":"23:29","moonsetLocal":"09:50","rahuKala":{"name":"Rāhu Kāla","start":"12:20","end":"13:56","startHours":12.335543513828405,"endHours":13.9284181886763,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:33","end":"09:09","startHours":7.5569194892847165,"endHours":9.149794164132611,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:45","end":"12:20","startHours":10.742668838980508,"endHours":12.335543513828405,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:22","startHours":8.937410874152892,"endHours":9.36217745411233,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:30","end":"06:50","startHours":6.495003039386119,"endHours":6.83481630335367,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:46","startHours":11.910776933868966,"endHours":12.760310093787844,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:16","end":"05:07","startHours":4.264978494599065,"endHours":5.114511654517942,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:54","end":"05:58","startHours":4.902128364538223,"endHours":5.9640448144368206,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:19","startHours":14.459376413625598,"endHours":15.308909573544476,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:30","end":"18:54","startHours":18.50704221321999,"endHours":18.907042213219988,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:42","end":"19:14","startHours":18.70704221321999,"endHours":19.238000438169287,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:27","end":"20:12","startHours":18.45704221321999,"endHours":20.20704221321999,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:46","startHours":23.910776933868966,"endHours":24.760310093787844,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:58","end":"07:33","startHours":5.9640448144368206,"endHours":7.5569194892847165,"quality":"auspicious"},{"name":"Amṛta","start":"07:33","end":"09:09","startHours":7.5569194892847165,"endHours":9.149794164132611,"quality":"auspicious"},{"name":"Kāla","start":"09:09","end":"10:45","startHours":9.149794164132611,"endHours":10.742668838980508,"quality":"inauspicious"},{"name":"Śubha","start":"10:45","end":"12:20","startHours":10.742668838980508,"endHours":12.335543513828405,"quality":"auspicious"},{"name":"Roga","start":"12:20","end":"13:56","startHours":12.335543513828405,"endHours":13.9284181886763,"quality":"inauspicious"},{"name":"Udveg","start":"13:56","end":"15:31","startHours":13.9284181886763,"endHours":15.521292863524195,"quality":"inauspicious"},{"name":"Chala","start":"15:31","end":"17:07","startHours":15.521292863524195,"endHours":17.114167538372094,"quality":"neutral"},{"name":"Labha","start":"17:07","end":"18:42","startHours":17.114167538372094,"endHours":18.70704221321999,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:42","end":"20:07","startHours":18.70704221321999,"endHours":20.114167538372094,"quality":"inauspicious"},{"name":"Chala","start":"20:07","end":"21:31","startHours":20.114167538372094,"endHours":21.521292863524195,"quality":"neutral"},{"name":"Labha","start":"21:31","end":"22:56","startHours":21.521292863524195,"endHours":22.9284181886763,"quality":"auspicious"},{"name":"Amṛta","start":"22:56","end":"00:20","startHours":22.9284181886763,"endHours":24.335543513828405,"quality":"auspicious"},{"name":"Kāla","start":"00:20","end":"01:45","startHours":24.335543513828405,"endHours":25.74266883898051,"quality":"inauspicious"},{"name":"Śubha","start":"01:45","end":"03:09","startHours":25.74266883898051,"endHours":27.149794164132615,"quality":"auspicious"},{"name":"Roga","start":"03:09","end":"04:33","startHours":27.149794164132615,"endHours":28.556919489284716,"quality":"inauspicious"},{"name":"Udveg","start":"04:33","end":"05:58","startHours":28.556919489284716,"endHours":29.96404481443682,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:58","end":"06:58","startHours":5.9640448144368206,"endHours":6.9640448144368206,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:58","end":"07:58","startHours":6.9640448144368206,"endHours":7.9640448144368206,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:58","end":"08:58","startHours":7.9640448144368206,"endHours":8.964044814436821,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:58","end":"09:58","startHours":8.964044814436821,"endHours":9.964044814436821,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:58","end":"10:58","startHours":9.964044814436821,"endHours":10.964044814436821,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:58","end":"11:58","startHours":10.964044814436821,"endHours":11.964044814436821,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:58","end":"12:58","startHours":11.964044814436821,"endHours":12.964044814436821,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:58","end":"13:58","startHours":12.964044814436821,"endHours":13.964044814436821,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:58","end":"14:58","startHours":13.964044814436821,"endHours":14.964044814436821,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:58","end":"15:58","startHours":14.964044814436821,"endHours":15.964044814436821,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:58","end":"16:58","startHours":15.964044814436821,"endHours":16.96404481443682,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:58","end":"17:58","startHours":16.96404481443682,"endHours":17.96404481443682,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:58","end":"18:58","startHours":17.96404481443682,"endHours":18.96404481443682,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:58","end":"19:58","startHours":18.96404481443682,"endHours":19.96404481443682,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:58","end":"20:58","startHours":19.96404481443682,"endHours":20.96404481443682,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:58","end":"21:58","startHours":20.96404481443682,"endHours":21.96404481443682,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:58","end":"22:58","startHours":21.96404481443682,"endHours":22.96404481443682,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:58","end":"23:58","startHours":22.96404481443682,"endHours":23.96404481443682,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:58","end":"00:58","startHours":23.96404481443682,"endHours":24.96404481443682,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:58","end":"01:58","startHours":24.96404481443682,"endHours":25.96404481443682,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:58","end":"02:58","startHours":25.96404481443682,"endHours":26.96404481443682,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:58","end":"03:58","startHours":26.96404481443682,"endHours":27.96404481443682,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:58","end":"04:58","startHours":27.96404481443682,"endHours":28.96404481443682,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:58","end":"05:58","startHours":28.96404481443682,"endHours":29.96404481443682,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":8.767830582398165,"eotMinutes":-0.7698108297043191,"ayanamsa":25.3516}},"calendars":{"vikram_samvat":2164,"vikram_samvatsara":"Vikrama","saka_samvat":2029,"saka_samvatsara":"Prabhava","bengali_samvat":1514,"malayalam_era":1283,"nanakshahi_year":638,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Ṣaṣṭhī · Vikram 2164 Vikrama · Śaka 2029 Prabhava"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 April 13, 2107 CE · Vṛndāvana · Vidhyamitra","description":"April 13, 2107 CE for Vṛndāvana: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:58, sūryāsta 18:42.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2107-04-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2107-04-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2107-04-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2107-04-13","x-default":"https://vidhyamitra.com/city/vrindavan/2107-04-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T23:08:54.274Z","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":"2026-06-01T23:08:54.274Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T23:08:54.274Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}