{"id":"vidhyamitra:city-day:vrindavan:2107-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2107-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2107-07-13","date_display":"July 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":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490818.770833,"kali_year":5209,"ahargana":1902353.2708,"sun":{"sidereal_longitude":84.1392,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":353.3615,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":269.2223,"elapsed_within_tithi_degrees":5.2223},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":353.3615,"elapsed_within_degrees":6.6948},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":77.5006},"karana":{"half_tithi_index":44,"name":"Bālava"},"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":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2490818.770833,"ahargana":1902353.2708,"kali_year":5209,"ayanamsa_lahiri":25.3551,"grahas":{"sun":{"sidereal_longitude":84.797864,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":350.418564,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":0.843},"mars":{"sidereal_longitude":58.02326399999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":68.56316400000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":43.955264,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":80.92186400000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":257.515264,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":184.1689,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":4.1689,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"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":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490818.770833,"kali_year":5209,"ahargana":1902353.2708,"sun":{"sidereal_longitude":84.1392,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":353.3615,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":269.2223,"elapsed_within_tithi_degrees":5.2223},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":353.3615,"elapsed_within_degrees":6.6948},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":77.5006},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.843,"elongation":90.778},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.843,"opposition_distance":89.222}},"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":"05:32","sunsetLocal":"19:17","solarNoonLocal":"12:25","dayLengthHours":13.75553905909234,"dayLengthDisplay":"13 Hours 45 Mins 20 Secs","nightLengthDisplay":"10 Hours 14 Mins 40 Secs","moonriseLocal":"23:52","moonsetLocal":"12:23","rahuKala":{"name":"Rāhu Kāla","start":"12:25","end":"14:08","startHours":12.412070480769344,"endHours":14.131512863155887,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:15","end":"08:58","startHours":7.253743333609718,"endHours":8.97318571599626,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:42","end":"12:25","startHours":10.692628098382801,"endHours":12.412070480769344,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:12","startHours":8.743926731678055,"endHours":9.202444700314466,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:06","end":"06:28","startHours":6.107448412018689,"endHours":6.474262786927818,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.953552512132934,"endHours":12.870588449405755,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:42","end":"04:37","startHours":3.7002290766775294,"endHours":4.617265013950352,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:23","end":"05:32","startHours":4.388006029632146,"endHours":5.534300951223175,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.704660323951403,"endHours":15.621696261224226,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.089840010315516,"endHours":19.489840010315515,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:52","startHours":19.289840010315515,"endHours":19.86298747111103,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.039840010315515,"endHours":20.789840010315515,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.953552512132934,"endHours":24.870588449405755,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:32","end":"07:15","startHours":5.534300951223175,"endHours":7.253743333609718,"quality":"auspicious"},{"name":"Amṛta","start":"07:15","end":"08:58","startHours":7.253743333609718,"endHours":8.97318571599626,"quality":"auspicious"},{"name":"Kāla","start":"08:58","end":"10:42","startHours":8.97318571599626,"endHours":10.692628098382801,"quality":"inauspicious"},{"name":"Śubha","start":"10:42","end":"12:25","startHours":10.692628098382801,"endHours":12.412070480769344,"quality":"auspicious"},{"name":"Roga","start":"12:25","end":"14:08","startHours":12.412070480769344,"endHours":14.131512863155887,"quality":"inauspicious"},{"name":"Udveg","start":"14:08","end":"15:51","startHours":14.131512863155887,"endHours":15.85095524554243,"quality":"inauspicious"},{"name":"Chala","start":"15:51","end":"17:34","startHours":15.85095524554243,"endHours":17.570397627928973,"quality":"neutral"},{"name":"Labha","start":"17:34","end":"19:17","startHours":17.570397627928973,"endHours":19.289840010315515,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:17","end":"20:34","startHours":19.289840010315515,"endHours":20.570397627928973,"quality":"inauspicious"},{"name":"Chala","start":"20:34","end":"21:51","startHours":20.570397627928973,"endHours":21.85095524554243,"quality":"neutral"},{"name":"Labha","start":"21:51","end":"23:08","startHours":21.85095524554243,"endHours":23.131512863155887,"quality":"auspicious"},{"name":"Amṛta","start":"23:08","end":"00:25","startHours":23.131512863155887,"endHours":24.412070480769344,"quality":"auspicious"},{"name":"Kāla","start":"00:25","end":"01:42","startHours":24.412070480769344,"endHours":25.6926280983828,"quality":"inauspicious"},{"name":"Śubha","start":"01:42","end":"02:58","startHours":25.6926280983828,"endHours":26.97318571599626,"quality":"auspicious"},{"name":"Roga","start":"02:58","end":"04:15","startHours":26.97318571599626,"endHours":28.25374333360972,"quality":"inauspicious"},{"name":"Udveg","start":"04:15","end":"05:32","startHours":28.25374333360972,"endHours":29.534300951223173,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:32","end":"06:32","startHours":5.534300951223175,"endHours":6.534300951223175,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:32","end":"07:32","startHours":6.534300951223175,"endHours":7.534300951223175,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:32","end":"08:32","startHours":7.534300951223175,"endHours":8.534300951223175,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:32","end":"09:32","startHours":8.534300951223175,"endHours":9.534300951223175,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:32","end":"10:32","startHours":9.534300951223175,"endHours":10.534300951223175,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:32","end":"11:32","startHours":10.534300951223175,"endHours":11.534300951223175,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:32","end":"12:32","startHours":11.534300951223175,"endHours":12.534300951223175,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:32","end":"13:32","startHours":12.534300951223175,"endHours":13.534300951223175,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:32","end":"14:32","startHours":13.534300951223175,"endHours":14.534300951223175,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:32","end":"15:32","startHours":14.534300951223175,"endHours":15.534300951223175,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:32","end":"16:32","startHours":15.534300951223175,"endHours":16.534300951223173,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:32","end":"17:32","startHours":16.534300951223173,"endHours":17.534300951223173,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:32","end":"18:32","startHours":17.534300951223173,"endHours":18.534300951223173,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:32","end":"19:32","startHours":18.534300951223173,"endHours":19.534300951223173,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:32","end":"20:32","startHours":19.534300951223173,"endHours":20.534300951223173,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:32","end":"21:32","startHours":20.534300951223173,"endHours":21.534300951223173,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:32","end":"22:32","startHours":21.534300951223173,"endHours":22.534300951223173,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:32","end":"23:32","startHours":22.534300951223173,"endHours":23.534300951223173,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:32","end":"00:32","startHours":23.534300951223173,"endHours":24.534300951223173,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:32","end":"01:32","startHours":24.534300951223173,"endHours":25.534300951223173,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:32","end":"02:32","startHours":25.534300951223173,"endHours":26.534300951223173,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:32","end":"03:32","startHours":26.534300951223173,"endHours":27.534300951223173,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:32","end":"04:32","startHours":27.534300951223173,"endHours":28.534300951223173,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:32","end":"05:32","startHours":28.534300951223173,"endHours":29.534300951223173,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.924330853572332,"eotMinutes":-5.361428846160681,"ayanamsa":25.3551}},"calendars":{"vikram_samvat":2164,"vikram_samvatsara":"Vikrama","saka_samvat":2029,"saka_samvatsara":"Prabhava","bengali_samvat":1514,"malayalam_era":1283,"nanakshahi_year":638,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Aṣṭamī · Vikram 2164 Vikrama · Śaka 2029 Prabhava"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"precedence":5}],"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5}]},"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 July 13, 2107 CE · Vṛndāvana · Vidhyamitra","description":"July 13, 2107 CE for Vṛndāvana: Kṛṣṇa Aṣṭamī, sūryodaya 05:32, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2107-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2107-07-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2107-07-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2107-07-13","x-default":"https://vidhyamitra.com/city/vrindavan/2107-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T17:13:35.147Z","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":"2026-05-22T17:13:35.147Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T17:13:35.147Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}