{"id":"vidhyamitra:city-day:vrindavan:2107-10-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2107-10-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2107-10-29","date_display":"October 29, 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":10,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490926.770833,"kali_year":5209,"ahargana":1902461.2708,"sun":{"sidereal_longitude":188.6764,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":335.3454,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":146.6691,"elapsed_within_tithi_degrees":2.6691},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":335.3454,"elapsed_within_degrees":2.0121},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":164.0218},"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":2107,"month":10,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2490926.770833,"ahargana":1902461.2708,"kali_year":5209,"ayanamsa_lahiri":25.3592,"grahas":{"sun":{"sidereal_longitude":189.64073699999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":337.244137,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":1.7641},"mars":{"sidereal_longitude":126.49503700000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":174.18953699999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":54.137936999999965,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":214.316737,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":256.168637,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":178.4466,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":358.4466,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"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":10,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490926.770833,"kali_year":5209,"ahargana":1902461.2708,"sun":{"sidereal_longitude":188.6764,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":335.3454,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":146.6691,"elapsed_within_tithi_degrees":2.6691},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":335.3454,"elapsed_within_degrees":2.0121},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":164.0218},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.764,"elongation":146.669},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.764,"opposition_distance":33.331}},"eclipse_window_40days":[{"offset_days":3,"type":"lunar","occurs":true,"moon_latitude":-1.173,"opposition_distance":1.733}]},"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":"06:27","sunsetLocal":"17:39","solarNoonLocal":"12:03","dayLengthHours":11.19278781682656,"dayLengthDisplay":"11 Hours 11 Mins 34 Secs","nightLengthDisplay":"12 Hours 48 Mins 26 Secs","moonriseLocal":"15:49","moonsetLocal":"03:58","rahuKala":{"name":"Rāhu Kāla","start":"09:15","end":"10:39","startHours":9.250626464476305,"endHours":10.649724941579626,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:27","end":"14:51","startHours":13.447921895786266,"endHours":14.847020372889585,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:27","end":"07:51","startHours":6.452429510269666,"endHours":7.851527987372986,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:26","startHours":9.06408000086253,"endHours":9.437172928090082,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:55","end":"07:13","startHours":6.918795669304106,"endHours":7.217270011086147,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:25","startHours":11.675730491455395,"endHours":12.421916345910498,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:58","end":"05:42","startHours":4.960057801359458,"endHours":5.706243655814562,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:31","end":"06:27","startHours":5.519697192200786,"endHours":6.452429510269666,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:40","startHours":13.914288054820705,"endHours":14.66047390927581,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:27","end":"17:51","startHours":17.445217327096227,"endHours":17.845217327096226,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:39","end":"18:07","startHours":17.645217327096226,"endHours":18.111583486130666,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:24","end":"19:09","startHours":17.395217327096226,"endHours":19.145217327096226,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:25","startHours":23.675730491455393,"endHours":24.4219163459105,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:27","end":"07:51","startHours":6.452429510269666,"endHours":7.851527987372986,"quality":"inauspicious"},{"name":"Śubha","start":"07:51","end":"09:15","startHours":7.851527987372986,"endHours":9.250626464476305,"quality":"auspicious"},{"name":"Roga","start":"09:15","end":"10:39","startHours":9.250626464476305,"endHours":10.649724941579626,"quality":"inauspicious"},{"name":"Udveg","start":"10:39","end":"12:03","startHours":10.649724941579626,"endHours":12.048823418682947,"quality":"inauspicious"},{"name":"Chala","start":"12:03","end":"13:27","startHours":12.048823418682947,"endHours":13.447921895786266,"quality":"neutral"},{"name":"Labha","start":"13:27","end":"14:51","startHours":13.447921895786266,"endHours":14.847020372889585,"quality":"auspicious"},{"name":"Amṛta","start":"14:51","end":"16:15","startHours":14.847020372889585,"endHours":16.246118849992907,"quality":"auspicious"},{"name":"Kāla","start":"16:15","end":"17:39","startHours":16.246118849992907,"endHours":17.645217327096226,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:39","end":"19:15","startHours":17.645217327096226,"endHours":19.246118849992907,"quality":"auspicious"},{"name":"Amṛta","start":"19:15","end":"20:51","startHours":19.246118849992907,"endHours":20.847020372889588,"quality":"auspicious"},{"name":"Kāla","start":"20:51","end":"22:27","startHours":20.847020372889588,"endHours":22.447921895786266,"quality":"inauspicious"},{"name":"Śubha","start":"22:27","end":"00:03","startHours":22.447921895786266,"endHours":24.048823418682947,"quality":"auspicious"},{"name":"Roga","start":"00:03","end":"01:39","startHours":24.048823418682947,"endHours":25.649724941579628,"quality":"inauspicious"},{"name":"Udveg","start":"01:39","end":"03:15","startHours":25.649724941579628,"endHours":27.250626464476305,"quality":"inauspicious"},{"name":"Chala","start":"03:15","end":"04:51","startHours":27.250626464476305,"endHours":28.851527987372986,"quality":"neutral"},{"name":"Labha","start":"04:51","end":"06:27","startHours":28.851527987372986,"endHours":30.452429510269667,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:27","end":"07:27","startHours":6.452429510269666,"endHours":7.452429510269666,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:27","end":"08:27","startHours":7.452429510269666,"endHours":8.452429510269667,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:27","end":"09:27","startHours":8.452429510269667,"endHours":9.452429510269667,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:27","end":"10:27","startHours":9.452429510269667,"endHours":10.452429510269667,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:27","end":"11:27","startHours":10.452429510269667,"endHours":11.452429510269667,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:27","end":"12:27","startHours":11.452429510269667,"endHours":12.452429510269667,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:27","end":"13:27","startHours":12.452429510269667,"endHours":13.452429510269667,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:27","end":"14:27","startHours":13.452429510269667,"endHours":14.452429510269667,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:27","end":"15:27","startHours":14.452429510269667,"endHours":15.452429510269667,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:27","end":"16:27","startHours":15.452429510269667,"endHours":16.452429510269667,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:27","end":"17:27","startHours":16.452429510269667,"endHours":17.452429510269667,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:27","end":"18:27","startHours":17.452429510269667,"endHours":18.452429510269667,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:27","end":"19:27","startHours":18.452429510269667,"endHours":19.452429510269667,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:27","end":"20:27","startHours":19.452429510269667,"endHours":20.452429510269667,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:27","end":"21:27","startHours":20.452429510269667,"endHours":21.452429510269667,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:27","end":"22:27","startHours":21.452429510269667,"endHours":22.452429510269667,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:27","end":"23:27","startHours":22.452429510269667,"endHours":23.452429510269667,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:27","end":"00:27","startHours":23.452429510269667,"endHours":24.452429510269667,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:27","end":"01:27","startHours":24.452429510269667,"endHours":25.452429510269667,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:27","end":"02:27","startHours":25.452429510269667,"endHours":26.452429510269667,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:27","end":"03:27","startHours":26.452429510269667,"endHours":27.452429510269667,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:27","end":"04:27","startHours":27.452429510269667,"endHours":28.452429510269667,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:27","end":"05:27","startHours":28.452429510269667,"endHours":29.452429510269667,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:27","end":"06:27","startHours":29.452429510269667,"endHours":30.452429510269667,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-13.18697900723519,"eotMinutes":16.433394879023222,"ayanamsa":25.3592}},"calendars":{"vikram_samvat":2164,"vikram_samvatsara":"Vikrama","saka_samvat":2029,"saka_samvatsara":"Prabhava","bengali_samvat":1514,"malayalam_era":1283,"nanakshahi_year":638,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Trayodaśī · Vikram 2164 Vikrama · Śaka 2029 Prabhava"},"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 October 29, 2107 CE · Vṛndāvana · Vidhyamitra","description":"October 29, 2107 CE for Vṛndāvana: Śukla Trayodaśī, sūryodaya 06:27, sūryāsta 17:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2107-10-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2107-10-29","sa":"https://sa.vidhyamitra.com/city/vrindavan/2107-10-29","hi":"https://hi.vidhyamitra.com/city/vrindavan/2107-10-29","x-default":"https://vidhyamitra.com/city/vrindavan/2107-10-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T03:08:14.436Z","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":"2026-05-31T03:08:14.436Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T03:08:14.436Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}