{"id":"vidhyamitra:city-day:vrindavan:1875-10-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1875-10-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1875-10-02","date_display":"October 2, 1875 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":1875,"month":10,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406163.770833,"kali_year":4977,"ahargana":1817698.2708,"sun":{"sidereal_longitude":165.8714,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":197.1028,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":31.2313,"elapsed_within_tithi_degrees":7.2313},"nakshatra":{"number":15,"name":"Svātī","pada":4,"moon_longitude":197.1028,"elapsed_within_degrees":10.4361},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":2.9742},"karana":{"half_tithi_index":5,"name":"Gara"},"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":1875,"month":10,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2406163.770833,"ahargana":1817698.2708,"kali_year":4977,"ayanamsa_lahiri":22.1173,"grahas":{"sun":{"sidereal_longitude":166.31630700000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":194.67910699999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false,"latitude":-2.0765},"mars":{"sidereal_longitude":265.8053070000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":192.98130700000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":194.22040700000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":170.39520700000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":298.8406070000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":349.5982,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":169.5982,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":1875,"month":10,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406163.770833,"kali_year":4977,"ahargana":1817698.2708,"sun":{"sidereal_longitude":165.8714,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":197.1028,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":31.2313,"elapsed_within_tithi_degrees":7.2313},"nakshatra":{"number":15,"name":"Svātī","pada":4,"moon_longitude":197.1028,"elapsed_within_degrees":10.4361},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":2.9742},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.077,"elongation":31.231},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.077,"opposition_distance":148.769}},"eclipse_window_40days":[{"offset_days":13,"type":"lunar","occurs":true,"moon_latitude":0.749,"opposition_distance":0.227}]},"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":"06:11","sunsetLocal":"18:05","solarNoonLocal":"12:08","dayLengthHours":11.892474706626174,"dayLengthDisplay":"11 Hours 53 Mins 33 Secs","nightLengthDisplay":"12 Hours 06 Mins 27 Secs","moonriseLocal":"08:28","moonsetLocal":"19:35","rahuKala":{"name":"Rāhu Kāla","start":"09:09","end":"10:39","startHours":9.158187324479492,"endHours":10.644746662807766,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:37","end":"15:06","startHours":13.61786533946431,"endHours":15.10442467779258,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:11","end":"07:40","startHours":6.185068647822949,"endHours":7.671627986151221,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:21","startHours":8.95997941270239,"endHours":9.356395236256596,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:41","end":"07:00","startHours":6.680588427265707,"endHours":6.997721086109071,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:32","startHours":11.73489017758183,"endHours":12.527721824690241,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:36","end":"05:24","startHours":4.599405353606127,"endHours":5.3922370007145375,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:12","end":"06:11","startHours":5.194029088937435,"endHours":6.185068647822949,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:54","startHours":14.113385118907065,"endHours":14.906216766015476,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:53","end":"18:17","startHours":17.877543354449124,"endHours":18.277543354449122,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:05","end":"18:34","startHours":18.077543354449123,"endHours":18.57306313389188,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:50","end":"19:35","startHours":17.827543354449123,"endHours":19.577543354449123,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:32","startHours":23.73489017758183,"endHours":24.527721824690243,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:11","end":"07:40","startHours":6.185068647822949,"endHours":7.671627986151221,"quality":"inauspicious"},{"name":"Śubha","start":"07:40","end":"09:09","startHours":7.671627986151221,"endHours":9.158187324479492,"quality":"auspicious"},{"name":"Roga","start":"09:09","end":"10:39","startHours":9.158187324479492,"endHours":10.644746662807766,"quality":"inauspicious"},{"name":"Udveg","start":"10:39","end":"12:08","startHours":10.644746662807766,"endHours":12.131306001136036,"quality":"inauspicious"},{"name":"Chala","start":"12:08","end":"13:37","startHours":12.131306001136036,"endHours":13.61786533946431,"quality":"neutral"},{"name":"Labha","start":"13:37","end":"15:06","startHours":13.61786533946431,"endHours":15.10442467779258,"quality":"auspicious"},{"name":"Amṛta","start":"15:06","end":"16:35","startHours":15.10442467779258,"endHours":16.590984016120853,"quality":"auspicious"},{"name":"Kāla","start":"16:35","end":"18:05","startHours":16.590984016120853,"endHours":18.077543354449123,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:05","end":"19:35","startHours":18.077543354449123,"endHours":19.59098401612085,"quality":"auspicious"},{"name":"Amṛta","start":"19:35","end":"21:06","startHours":19.59098401612085,"endHours":21.10442467779258,"quality":"auspicious"},{"name":"Kāla","start":"21:06","end":"22:37","startHours":21.10442467779258,"endHours":22.61786533946431,"quality":"inauspicious"},{"name":"Śubha","start":"22:37","end":"00:08","startHours":22.61786533946431,"endHours":24.131306001136036,"quality":"auspicious"},{"name":"Roga","start":"00:08","end":"01:39","startHours":24.131306001136036,"endHours":25.644746662807762,"quality":"inauspicious"},{"name":"Udveg","start":"01:39","end":"03:09","startHours":25.644746662807762,"endHours":27.158187324479492,"quality":"inauspicious"},{"name":"Chala","start":"03:09","end":"04:40","startHours":27.158187324479492,"endHours":28.671627986151222,"quality":"neutral"},{"name":"Labha","start":"04:40","end":"06:11","startHours":28.671627986151222,"endHours":30.18506864782295,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:11","end":"07:11","startHours":6.185068647822949,"endHours":7.185068647822949,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:11","end":"08:11","startHours":7.185068647822949,"endHours":8.185068647822948,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:11","end":"09:11","startHours":8.185068647822948,"endHours":9.185068647822948,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:11","end":"10:11","startHours":9.185068647822948,"endHours":10.185068647822948,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:11","end":"11:11","startHours":10.185068647822948,"endHours":11.185068647822948,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:11","end":"12:11","startHours":11.185068647822948,"endHours":12.185068647822948,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:11","end":"13:11","startHours":12.185068647822948,"endHours":13.185068647822948,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:11","end":"14:11","startHours":13.185068647822948,"endHours":14.185068647822948,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:11","end":"15:11","startHours":14.185068647822948,"endHours":15.185068647822948,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:11","end":"16:11","startHours":15.185068647822948,"endHours":16.18506864782295,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:11","end":"17:11","startHours":16.18506864782295,"endHours":17.18506864782295,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:11","end":"18:11","startHours":17.18506864782295,"endHours":18.18506864782295,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:11","end":"19:11","startHours":18.18506864782295,"endHours":19.18506864782295,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:11","end":"20:11","startHours":19.18506864782295,"endHours":20.18506864782295,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:11","end":"21:11","startHours":20.18506864782295,"endHours":21.18506864782295,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:11","end":"22:11","startHours":21.18506864782295,"endHours":22.18506864782295,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:11","end":"23:11","startHours":22.18506864782295,"endHours":23.18506864782295,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:11","end":"00:11","startHours":23.18506864782295,"endHours":24.18506864782295,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:11","end":"01:11","startHours":24.18506864782295,"endHours":25.18506864782295,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:11","end":"02:11","startHours":25.18506864782295,"endHours":26.18506864782295,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:11","end":"03:11","startHours":26.18506864782295,"endHours":27.18506864782295,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:11","end":"04:11","startHours":27.18506864782295,"endHours":28.18506864782295,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:11","end":"05:11","startHours":28.18506864782295,"endHours":29.18506864782295,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:11","end":"06:11","startHours":29.18506864782295,"endHours":30.18506864782295,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"East","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-3.3441182024574077,"eotMinutes":11.484439931837855,"ayanamsa":22.1173}},"calendars":{"vikram_samvat":1932,"vikram_samvatsara":"Sarvadhāri","saka_samvat":1797,"saka_samvatsara":"Yuva","bengali_samvat":1282,"malayalam_era":1051,"nanakshahi_year":406,"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":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Tṛtīyā · Vikram 1932 Sarvadhāri · Śaka 1797 Yuva"},"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 October 2, 1875 CE · Vṛndāvana · Vidhyamitra","description":"October 2, 1875 CE for Vṛndāvana: Śukla Tṛtīyā, sūryodaya 06:11, sūryāsta 18:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1875-10-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1875-10-02","sa":"https://sa.vidhyamitra.com/city/vrindavan/1875-10-02","hi":"https://hi.vidhyamitra.com/city/vrindavan/1875-10-02","x-default":"https://vidhyamitra.com/city/vrindavan/1875-10-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T05:27:20.353Z","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":"2026-06-01T05:27:20.353Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T05:27:20.353Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}