{"id":"vidhyamitra:city-day:pushkar:1950-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/pushkar/1950-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1950-12-13","date_display":"December 13, 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":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433628.770833,"kali_year":5052,"ahargana":1845163.2708,"sun":{"sidereal_longitude":237.0076,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":285.2257,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":48.2181,"elapsed_within_tithi_degrees":0.2181},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":285.2257,"elapsed_within_degrees":5.2257},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":162.2333},"karana":{"half_tithi_index":8,"name":"Bava"},"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":1950,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2433628.770833,"ahargana":1845163.2708,"kali_year":5052,"ayanamsa_lahiri":23.1678,"grahas":{"sun":{"sidereal_longitude":237.292642,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":287.802142,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false,"latitude":-3.4021},"mars":{"sidereal_longitude":275.70234200000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":258.27524199999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":309.20354199999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":245.08274200000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":158.65924199999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":334.3704,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":154.3704,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":1950,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433628.770833,"kali_year":5052,"ahargana":1845163.2708,"sun":{"sidereal_longitude":237.0076,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":285.2257,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":48.2181,"elapsed_within_tithi_degrees":0.2181},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":285.2257,"elapsed_within_degrees":5.2257},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":162.2333},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.402,"elongation":48.218},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.402,"opposition_distance":131.782}},"eclipse_window_40days":[]},"city":{"slug":"pushkar","name":"Puṣkar","lat":26.49,"lon":74.55,"tz_offset_hours":5.5,"state":"Rajasthan","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"pushkar","name":"Puṣkar","lat":26.49,"lon":74.55,"tz_offset_hours":5.5,"state":"Rajasthan","country":"IN","tier":"tirtha"},"sunriseLocal":"07:12","sunsetLocal":"17:42","solarNoonLocal":"12:27","dayLengthHours":10.501914014153371,"dayLengthDisplay":"10 Hours 30 Mins 07 Secs","nightLengthDisplay":"13 Hours 29 Mins 53 Secs","moonriseLocal":"10:22","moonsetLocal":"21:15","rahuKala":{"name":"Rāhu Kāla","start":"12:27","end":"13:45","startHours":12.445155829176365,"endHours":13.757895080945538,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:30","end":"09:49","startHours":8.506938073868852,"endHours":9.819677325638022,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:08","end":"12:27","startHours":11.132416577407195,"endHours":12.445155829176365,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.644645425402134,"endHours":9.994709225873912,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.631778572689404,"endHours":7.9118296130668275,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:48","startHours":12.095092028704586,"endHours":12.795219629648143,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:48","end":"06:30","startHours":5.793943620212564,"endHours":6.494071221156122,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:12","startHours":6.319039320920233,"endHours":7.19419882209968,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:12","end":"14:54","startHours":14.195474831535261,"endHours":14.89560243247882,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:30","end":"17:54","startHours":17.49611283625305,"endHours":17.89611283625305,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:42","end":"18:08","startHours":17.69611283625305,"endHours":18.133692586842773,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:27","end":"19:12","startHours":17.44611283625305,"endHours":19.19611283625305,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:48","startHours":24.095092028704585,"endHours":24.795219629648145,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:12","end":"08:30","startHours":7.19419882209968,"endHours":8.506938073868852,"quality":"auspicious"},{"name":"Amṛta","start":"08:30","end":"09:49","startHours":8.506938073868852,"endHours":9.819677325638022,"quality":"auspicious"},{"name":"Kāla","start":"09:49","end":"11:08","startHours":9.819677325638022,"endHours":11.132416577407195,"quality":"inauspicious"},{"name":"Śubha","start":"11:08","end":"12:27","startHours":11.132416577407195,"endHours":12.445155829176365,"quality":"auspicious"},{"name":"Roga","start":"12:27","end":"13:45","startHours":12.445155829176365,"endHours":13.757895080945538,"quality":"inauspicious"},{"name":"Udveg","start":"13:45","end":"15:04","startHours":13.757895080945538,"endHours":15.070634332714707,"quality":"inauspicious"},{"name":"Chala","start":"15:04","end":"16:23","startHours":15.070634332714707,"endHours":16.38337358448388,"quality":"neutral"},{"name":"Labha","start":"16:23","end":"17:42","startHours":16.38337358448388,"endHours":17.69611283625305,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:42","end":"19:23","startHours":17.69611283625305,"endHours":19.383373584483877,"quality":"inauspicious"},{"name":"Chala","start":"19:23","end":"21:04","startHours":19.383373584483877,"endHours":21.070634332714707,"quality":"neutral"},{"name":"Labha","start":"21:04","end":"22:45","startHours":21.070634332714707,"endHours":22.757895080945538,"quality":"auspicious"},{"name":"Amṛta","start":"22:45","end":"00:27","startHours":22.757895080945538,"endHours":24.445155829176365,"quality":"auspicious"},{"name":"Kāla","start":"00:27","end":"02:08","startHours":24.445155829176365,"endHours":26.13241657740719,"quality":"inauspicious"},{"name":"Śubha","start":"02:08","end":"03:49","startHours":26.13241657740719,"endHours":27.819677325638022,"quality":"auspicious"},{"name":"Roga","start":"03:49","end":"05:30","startHours":27.819677325638022,"endHours":29.506938073868852,"quality":"inauspicious"},{"name":"Udveg","start":"05:30","end":"07:12","startHours":29.506938073868852,"endHours":31.19419882209968,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:12","end":"08:12","startHours":7.19419882209968,"endHours":8.194198822099679,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:12","end":"09:12","startHours":8.194198822099679,"endHours":9.194198822099679,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:12","end":"10:12","startHours":9.194198822099679,"endHours":10.194198822099679,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:12","end":"11:12","startHours":10.194198822099679,"endHours":11.194198822099679,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:12","end":"12:12","startHours":11.194198822099679,"endHours":12.194198822099679,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:12","end":"13:12","startHours":12.194198822099679,"endHours":13.194198822099679,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:12","end":"14:12","startHours":13.194198822099679,"endHours":14.194198822099679,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:12","end":"15:12","startHours":14.194198822099679,"endHours":15.194198822099679,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:12","end":"16:12","startHours":15.194198822099679,"endHours":16.19419882209968,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:12","end":"17:12","startHours":16.19419882209968,"endHours":17.19419882209968,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:12","end":"18:12","startHours":17.19419882209968,"endHours":18.19419882209968,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:12","end":"19:12","startHours":18.19419882209968,"endHours":19.19419882209968,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:12","end":"20:12","startHours":19.19419882209968,"endHours":20.19419882209968,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:12","end":"21:12","startHours":20.19419882209968,"endHours":21.19419882209968,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:12","end":"22:12","startHours":21.19419882209968,"endHours":22.19419882209968,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:12","end":"23:12","startHours":22.19419882209968,"endHours":23.19419882209968,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:12","end":"00:12","startHours":23.19419882209968,"endHours":24.19419882209968,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:12","end":"01:12","startHours":24.19419882209968,"endHours":25.19419882209968,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:12","end":"02:12","startHours":25.19419882209968,"endHours":26.19419882209968,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:12","end":"03:12","startHours":26.19419882209968,"endHours":27.19419882209968,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:12","end":"04:12","startHours":27.19419882209968,"endHours":28.19419882209968,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:12","end":"05:12","startHours":28.19419882209968,"endHours":29.19419882209968,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:12","end":"06:12","startHours":29.19419882209968,"endHours":30.19419882209968,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:12","end":"07:12","startHours":30.19419882209968,"endHours":31.19419882209968,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.093476348295127,"eotMinutes":5.090650249418121,"ayanamsa":23.1678}},"calendars":{"vikram_samvat":2007,"vikram_samvatsara":"Śobhana","saka_samvat":1872,"saka_samvatsara":"Vikṛti","bengali_samvat":1357,"malayalam_era":1126,"nanakshahi_year":481,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Pañcamī · Vikram 2007 Śobhana · Śaka 1872 Vikṛti"},"festivals":[],"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":[]},"validity":{"eternal":false,"location_specific":"pushkar"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 13, 1950 CE · Puṣkar · Vidhyamitra","description":"December 13, 1950 CE for Puṣkar: Śukla Pañcamī, sūryodaya 07:12, sūryāsta 17:42.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/pushkar/1950-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/pushkar/1950-12-13","sa":"https://sa.vidhyamitra.com/city/pushkar/1950-12-13","hi":"https://hi.vidhyamitra.com/city/pushkar/1950-12-13","x-default":"https://vidhyamitra.com/city/pushkar/1950-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-30T23:17:38.862Z","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":"2026-05-30T23:17:38.862Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T23:17:38.862Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}