{"id":"vidhyamitra:city-day:mathura:1950-10-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1950-10-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1950-10-07","date_display":"October 7, 1950 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":1950,"month":10,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433561.770833,"kali_year":5052,"ahargana":1845096.2708,"sun":{"sidereal_longitude":169.4146,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":112.4995,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":303.0848,"elapsed_within_tithi_degrees":3.0848},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":112.4995,"elapsed_within_degrees":5.8328},"yoga":{"number":22,"name":"Sādhya","sum_longitude":281.9141},"karana":{"half_tithi_index":50,"name":"Bava"},"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":1950,"month":10,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2433561.770833,"ahargana":1845096.2708,"kali_year":5052,"ayanamsa_lahiri":23.1652,"grahas":{"sun":{"sidereal_longitude":170.03930200000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"moon":{"sidereal_longitude":111.40750200000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false,"latitude":3.2036},"mars":{"sidereal_longitude":225.42020200000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":153.77800200000001,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":305.794802,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":161.05500200000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":152.34050200000001,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":337.9203,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":157.9203,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":1950,"month":10,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433561.770833,"kali_year":5052,"ahargana":1845096.2708,"sun":{"sidereal_longitude":169.4146,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":112.4995,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":303.0848,"elapsed_within_tithi_degrees":3.0848},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":112.4995,"elapsed_within_degrees":5.8328},"yoga":{"number":22,"name":"Sādhya","sum_longitude":281.9141},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.204,"elongation":56.915},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.204,"opposition_distance":123.085}},"eclipse_window_40days":[{"offset_days":-11,"type":"lunar","occurs":true,"moon_latitude":0.007,"opposition_distance":0.001}]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:13","sunsetLocal":"17:59","solarNoonLocal":"12:06","dayLengthHours":11.762992755546637,"dayLengthDisplay":"11 Hours 45 Mins 47 Secs","nightLengthDisplay":"12 Hours 14 Mins 13 Secs","moonriseLocal":"01:34","moonsetLocal":"14:50","rahuKala":{"name":"Rāhu Kāla","start":"09:10","end":"10:38","startHours":9.165025974296345,"endHours":10.635400068739676,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:35","end":"15:03","startHours":13.576148257626334,"endHours":15.046522352069665,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:13","end":"07:42","startHours":6.2242777854096865,"endHours":7.694651879853016,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:22","startHours":8.968976095037235,"endHours":9.361075853555457,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:43","end":"07:02","startHours":6.714402483557463,"endHours":7.028082290372041,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:43","end":"12:30","startHours":11.713674404664784,"endHours":12.497873921701226,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:39","end":"05:26","startHours":4.655878751336801,"endHours":5.440078268373244,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:15","end":"06:13","startHours":5.244028389114133,"endHours":6.2242777854096865,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:51","startHours":14.066272955774112,"endHours":14.850472472810555,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:47","end":"18:11","startHours":17.787270540956325,"endHours":18.187270540956323,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:59","end":"18:29","startHours":17.987270540956324,"endHours":18.4773952391041,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:44","end":"19:29","startHours":17.737270540956324,"endHours":19.487270540956324,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:43","end":"00:30","startHours":23.713674404664786,"endHours":24.497873921701228,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:13","end":"07:42","startHours":6.2242777854096865,"endHours":7.694651879853016,"quality":"inauspicious"},{"name":"Śubha","start":"07:42","end":"09:10","startHours":7.694651879853016,"endHours":9.165025974296345,"quality":"auspicious"},{"name":"Roga","start":"09:10","end":"10:38","startHours":9.165025974296345,"endHours":10.635400068739676,"quality":"inauspicious"},{"name":"Udveg","start":"10:38","end":"12:06","startHours":10.635400068739676,"endHours":12.105774163183005,"quality":"inauspicious"},{"name":"Chala","start":"12:06","end":"13:35","startHours":12.105774163183005,"endHours":13.576148257626334,"quality":"neutral"},{"name":"Labha","start":"13:35","end":"15:03","startHours":13.576148257626334,"endHours":15.046522352069665,"quality":"auspicious"},{"name":"Amṛta","start":"15:03","end":"16:31","startHours":15.046522352069665,"endHours":16.516896446512995,"quality":"auspicious"},{"name":"Kāla","start":"16:31","end":"17:59","startHours":16.516896446512995,"endHours":17.987270540956324,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:59","end":"19:31","startHours":17.987270540956324,"endHours":19.516896446512995,"quality":"auspicious"},{"name":"Amṛta","start":"19:31","end":"21:03","startHours":19.516896446512995,"endHours":21.046522352069665,"quality":"auspicious"},{"name":"Kāla","start":"21:03","end":"22:35","startHours":21.046522352069665,"endHours":22.576148257626336,"quality":"inauspicious"},{"name":"Śubha","start":"22:35","end":"00:06","startHours":22.576148257626336,"endHours":24.105774163183007,"quality":"auspicious"},{"name":"Roga","start":"00:06","end":"01:38","startHours":24.105774163183007,"endHours":25.635400068739678,"quality":"inauspicious"},{"name":"Udveg","start":"01:38","end":"03:10","startHours":25.635400068739678,"endHours":27.165025974296345,"quality":"inauspicious"},{"name":"Chala","start":"03:10","end":"04:42","startHours":27.165025974296345,"endHours":28.694651879853016,"quality":"neutral"},{"name":"Labha","start":"04:42","end":"06:13","startHours":28.694651879853016,"endHours":30.224277785409686,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:13","end":"07:13","startHours":6.2242777854096865,"endHours":7.2242777854096865,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:13","end":"08:13","startHours":7.2242777854096865,"endHours":8.224277785409686,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:13","end":"09:13","startHours":8.224277785409686,"endHours":9.224277785409686,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:13","end":"10:13","startHours":9.224277785409686,"endHours":10.224277785409686,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:13","end":"11:13","startHours":10.224277785409686,"endHours":11.224277785409686,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:13","end":"12:13","startHours":11.224277785409686,"endHours":12.224277785409686,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:13","end":"13:13","startHours":12.224277785409686,"endHours":13.224277785409686,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:13","end":"14:13","startHours":13.224277785409686,"endHours":14.224277785409686,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:13","end":"15:13","startHours":14.224277785409686,"endHours":15.224277785409686,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:13","end":"16:13","startHours":15.224277785409686,"endHours":16.224277785409686,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:13","end":"17:13","startHours":16.224277785409686,"endHours":17.224277785409686,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:13","end":"18:13","startHours":17.224277785409686,"endHours":18.224277785409686,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:13","end":"19:13","startHours":18.224277785409686,"endHours":19.224277785409686,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:13","end":"20:13","startHours":19.224277785409686,"endHours":20.224277785409686,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:13","end":"21:13","startHours":20.224277785409686,"endHours":21.224277785409686,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:13","end":"22:13","startHours":21.224277785409686,"endHours":22.224277785409686,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:13","end":"23:13","startHours":22.224277785409686,"endHours":23.224277785409686,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:13","end":"00:13","startHours":23.224277785409686,"endHours":24.224277785409686,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:13","end":"01:13","startHours":24.224277785409686,"endHours":25.224277785409686,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:13","end":"02:13","startHours":25.224277785409686,"endHours":26.224277785409686,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:13","end":"03:13","startHours":26.224277785409686,"endHours":27.224277785409686,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:13","end":"04:13","startHours":27.224277785409686,"endHours":28.224277785409686,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:13","end":"05:13","startHours":28.224277785409686,"endHours":29.224277785409686,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:13","end":"06:13","startHours":29.224277785409686,"endHours":30.224277785409686,"planetary_lord":"Mercury"}],"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-5.212680253166284,"eotMinutes":12.958750209019716,"ayanamsa":23.1652}},"calendars":{"vikram_samvat":2007,"vikram_samvatsara":"Śobhana","saka_samvat":1872,"saka_samvatsara":"Vikṛti","bengali_samvat":1357,"malayalam_era":1126,"nanakshahi_year":481,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Ekādaśī · Vikram 2007 Śobhana · Śaka 1872 Vikṛti"},"festivals":[{"id":"rama-ekadashi","name":"Ramā Ekādaśī","name_sanskrit":"रमा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu (with Ramā = Lakṣmī)","significance":"Lakṣmī (Ramā) granted boon to King Mucukunda.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Āśvina"},"precedence":4},{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 7, 1950 CE · Mathurā · Vidhyamitra","description":"October 7, 1950 CE for Mathurā: Kṛṣṇa Ekādaśī, sūryodaya 06:13, sūryāsta 17:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1950-10-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1950-10-07","sa":"https://sa.vidhyamitra.com/city/mathura/1950-10-07","hi":"https://hi.vidhyamitra.com/city/mathura/1950-10-07","x-default":"https://vidhyamitra.com/city/mathura/1950-10-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:45:39.436Z","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":"2026-05-14T12:45:39.436Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:45:39.436Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}