{"id":"vidhyamitra:city-day:vrindavan:1861-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1861-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1861-07-13","date_display":"July 13, 1861 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":1861,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2400969.770833,"kali_year":4963,"ahargana":1812504.2708,"sun":{"sidereal_longitude":88.5464,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":151.3059,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":62.7594,"elapsed_within_tithi_degrees":2.7594},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":151.3059,"elapsed_within_degrees":4.6392},"yoga":{"number":18,"name":"Varīyān","sum_longitude":239.8523},"karana":{"half_tithi_index":10,"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":1861,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2400969.770833,"ahargana":1812504.2708,"kali_year":4963,"ayanamsa_lahiri":21.9187,"grahas":{"sun":{"sidereal_longitude":88.64455600000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":151.27695600000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false,"latitude":-4.1262},"mars":{"sidereal_longitude":105.20685600000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":105.60265600000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":126.784156,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":107.50895600000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":135.55185600000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":264.8013,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":84.8013,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","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":1861,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2400969.770833,"kali_year":4963,"ahargana":1812504.2708,"sun":{"sidereal_longitude":88.5464,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":151.3059,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":62.7594,"elapsed_within_tithi_degrees":2.7594},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":151.3059,"elapsed_within_degrees":4.6392},"yoga":{"number":18,"name":"Varīyān","sum_longitude":239.8523},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.126,"elongation":62.759},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.126,"opposition_distance":117.241}},"eclipse_window_40days":[{"offset_days":-5,"type":"solar","occurs":true,"moon_latitude":0.197,"elongation":1.253},{"offset_days":9,"type":"lunar","occurs":true,"moon_latitude":1.174,"opposition_distance":2.381}]},"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":13.75040027234298,"dayLengthDisplay":"13 Hours 45 Mins 01 Secs","nightLengthDisplay":"10 Hours 14 Mins 59 Secs","moonriseLocal":"10:27","moonsetLocal":"22:44","rahuKala":{"name":"Rāhu Kāla","start":"08:58","end":"10:42","startHours":8.974470412683598,"endHours":10.693270446726471,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:08","end":"15:51","startHours":14.130870514812216,"endHours":15.849670548855087,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:32","end":"07:15","startHours":5.536870344597854,"endHours":7.255670378640726,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:12","startHours":8.745297074811216,"endHours":9.203643750555981,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:29","startHours":6.109803689278811,"endHours":6.476481029874624,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.953723805024579,"endHours":12.87041715651411,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:42","end":"04:37","startHours":3.70348364161879,"endHours":4.620176993108322,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:23","end":"05:32","startHours":4.391003655235939,"endHours":5.536870344597854,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.703803859493174,"endHours":15.620497210982705,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.087270616940835,"endHours":19.487270616940833,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:52","startHours":19.287270616940834,"endHours":19.860203961621792,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.037270616940834,"endHours":20.787270616940834,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.953723805024577,"endHours":24.87041715651411,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:32","end":"07:15","startHours":5.536870344597854,"endHours":7.255670378640726,"quality":"inauspicious"},{"name":"Śubha","start":"07:15","end":"08:58","startHours":7.255670378640726,"endHours":8.974470412683598,"quality":"auspicious"},{"name":"Roga","start":"08:58","end":"10:42","startHours":8.974470412683598,"endHours":10.693270446726471,"quality":"inauspicious"},{"name":"Udveg","start":"10:42","end":"12:25","startHours":10.693270446726471,"endHours":12.412070480769344,"quality":"inauspicious"},{"name":"Chala","start":"12:25","end":"14:08","startHours":12.412070480769344,"endHours":14.130870514812216,"quality":"neutral"},{"name":"Labha","start":"14:08","end":"15:51","startHours":14.130870514812216,"endHours":15.849670548855087,"quality":"auspicious"},{"name":"Amṛta","start":"15:51","end":"17:34","startHours":15.849670548855087,"endHours":17.568470582897962,"quality":"auspicious"},{"name":"Kāla","start":"17:34","end":"19:17","startHours":17.568470582897962,"endHours":19.287270616940834,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:17","end":"20:34","startHours":19.287270616940834,"endHours":20.568470582897962,"quality":"auspicious"},{"name":"Amṛta","start":"20:34","end":"21:51","startHours":20.568470582897962,"endHours":21.849670548855087,"quality":"auspicious"},{"name":"Kāla","start":"21:51","end":"23:08","startHours":21.849670548855087,"endHours":23.130870514812216,"quality":"inauspicious"},{"name":"Śubha","start":"23:08","end":"00:25","startHours":23.130870514812216,"endHours":24.412070480769344,"quality":"auspicious"},{"name":"Roga","start":"00:25","end":"01:42","startHours":24.412070480769344,"endHours":25.693270446726473,"quality":"inauspicious"},{"name":"Udveg","start":"01:42","end":"02:58","startHours":25.693270446726473,"endHours":26.9744704126836,"quality":"inauspicious"},{"name":"Chala","start":"02:58","end":"04:15","startHours":26.9744704126836,"endHours":28.255670378640726,"quality":"neutral"},{"name":"Labha","start":"04:15","end":"05:32","startHours":28.255670378640726,"endHours":29.536870344597855,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:32","end":"06:32","startHours":5.536870344597854,"endHours":6.536870344597854,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:32","end":"07:32","startHours":6.536870344597854,"endHours":7.536870344597854,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:32","end":"08:32","startHours":7.536870344597854,"endHours":8.536870344597855,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:32","end":"09:32","startHours":8.536870344597855,"endHours":9.536870344597855,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:32","end":"10:32","startHours":9.536870344597855,"endHours":10.536870344597855,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:32","end":"11:32","startHours":10.536870344597855,"endHours":11.536870344597855,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:32","end":"12:32","startHours":11.536870344597855,"endHours":12.536870344597855,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:32","end":"13:32","startHours":12.536870344597855,"endHours":13.536870344597855,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:32","end":"14:32","startHours":13.536870344597855,"endHours":14.536870344597855,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:32","end":"15:32","startHours":14.536870344597855,"endHours":15.536870344597855,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:32","end":"16:32","startHours":15.536870344597855,"endHours":16.536870344597855,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:32","end":"17:32","startHours":16.536870344597855,"endHours":17.536870344597855,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:32","end":"18:32","startHours":17.536870344597855,"endHours":18.536870344597855,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:32","end":"19:32","startHours":18.536870344597855,"endHours":19.536870344597855,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:32","end":"20:32","startHours":19.536870344597855,"endHours":20.536870344597855,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:32","end":"21:32","startHours":20.536870344597855,"endHours":21.536870344597855,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:32","end":"22:32","startHours":21.536870344597855,"endHours":22.536870344597855,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:32","end":"23:32","startHours":22.536870344597855,"endHours":23.536870344597855,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:32","end":"00:32","startHours":23.536870344597855,"endHours":24.536870344597855,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:32","end":"01:32","startHours":24.536870344597855,"endHours":25.536870344597855,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:32","end":"02:32","startHours":25.536870344597855,"endHours":26.536870344597855,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:32","end":"03:32","startHours":26.536870344597855,"endHours":27.536870344597855,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:32","end":"04:32","startHours":27.536870344597855,"endHours":28.536870344597855,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:32","end":"05:32","startHours":28.536870344597855,"endHours":29.536870344597855,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"East","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.863147879923634,"eotMinutes":-5.361428846160681,"ayanamsa":21.9187}},"calendars":{"vikram_samvat":1918,"vikram_samvatsara":"Bhāva","saka_samvat":1783,"saka_samvatsara":"Durmati","bengali_samvat":1268,"malayalam_era":1037,"nanakshahi_year":392,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Ṣaṣṭhī · Vikram 1918 Bhāva · Śaka 1783 Durmati"},"festivals":[],"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 July 13, 1861 CE · Vṛndāvana · Vidhyamitra","description":"July 13, 1861 CE for Vṛndāvana: Śukla Ṣaṣṭhī, sūryodaya 05:32, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1861-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1861-07-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/1861-07-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/1861-07-13","x-default":"https://vidhyamitra.com/city/vrindavan/1861-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T18:42:35.641Z","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":"2026-06-01T18:42:35.641Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T18:42:35.641Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}