{"id":"vidhyamitra:city-day:pushkar:2121-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/pushkar/2121-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-12-13","date_display":"December 13, 2121 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":2121,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2496085.770833,"kali_year":5223,"ahargana":1907620.2708,"sun":{"sidereal_longitude":234.7037,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":271.3574,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":36.6537,"elapsed_within_tithi_degrees":0.6537},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":271.3574,"elapsed_within_degrees":4.6907},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":146.0611},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"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":2121,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2496085.770833,"ahargana":1907620.2708,"kali_year":5223,"ayanamsa_lahiri":25.5565,"grahas":{"sun":{"sidereal_longitude":235.41292499999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":272.184125,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":0.4901},"mars":{"sidereal_longitude":251.04712500000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":253.886525,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":124.31032500000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":235.01662499999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":79.77872500000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":265.0979,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":85.0979,"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":2121,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2496085.770833,"kali_year":5223,"ahargana":1907620.2708,"sun":{"sidereal_longitude":234.7037,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":271.3574,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":36.6537,"elapsed_within_tithi_degrees":0.6537},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":271.3574,"elapsed_within_degrees":4.6907},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":146.0611},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.49,"elongation":36.654},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.49,"opposition_distance":143.346}},"eclipse_window_40days":[{"offset_days":11,"type":"lunar","occurs":true,"moon_latitude":1.303,"opposition_distance":1.67}]},"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":10.499106225050248,"dayLengthDisplay":"10 Hours 29 Mins 57 Secs","nightLengthDisplay":"13 Hours 30 Mins 03 Secs","moonriseLocal":"09:34","moonsetLocal":"20:13","rahuKala":{"name":"Rāhu Kāla","start":"09:49","end":"11:08","startHours":9.820379272913804,"endHours":11.132767551045085,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:45","end":"15:04","startHours":13.757544107307647,"endHours":15.069932385438928,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:12","end":"08:30","startHours":7.1956027166512415,"endHours":8.507990994782523,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.645394169162966,"endHours":9.995364376664641,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.633065476028335,"endHours":7.913041642029675,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:48","startHours":12.09518562167469,"endHours":12.79512603667804,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:48","end":"06:30","startHours":5.795721886644541,"endHours":6.495662301647892,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:12","startHours":6.320677197897054,"endHours":7.1956027166512415,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:12","end":"14:54","startHours":14.19500686668474,"endHours":14.89494728168809,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:30","end":"17:54","startHours":17.49470894170149,"endHours":17.894708941701488,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:42","end":"18:08","startHours":17.69470894170149,"endHours":18.132171701078583,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:27","end":"19:12","startHours":17.44470894170149,"endHours":19.19470894170149,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:48","startHours":24.09518562167469,"endHours":24.795126036678038,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:12","end":"08:30","startHours":7.1956027166512415,"endHours":8.507990994782523,"quality":"inauspicious"},{"name":"Śubha","start":"08:30","end":"09:49","startHours":8.507990994782523,"endHours":9.820379272913804,"quality":"auspicious"},{"name":"Roga","start":"09:49","end":"11:08","startHours":9.820379272913804,"endHours":11.132767551045085,"quality":"inauspicious"},{"name":"Udveg","start":"11:08","end":"12:27","startHours":11.132767551045085,"endHours":12.445155829176365,"quality":"inauspicious"},{"name":"Chala","start":"12:27","end":"13:45","startHours":12.445155829176365,"endHours":13.757544107307647,"quality":"neutral"},{"name":"Labha","start":"13:45","end":"15:04","startHours":13.757544107307647,"endHours":15.069932385438928,"quality":"auspicious"},{"name":"Amṛta","start":"15:04","end":"16:23","startHours":15.069932385438928,"endHours":16.38232066357021,"quality":"auspicious"},{"name":"Kāla","start":"16:23","end":"17:42","startHours":16.38232066357021,"endHours":17.69470894170149,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:42","end":"19:23","startHours":17.69470894170149,"endHours":19.38232066357021,"quality":"auspicious"},{"name":"Amṛta","start":"19:23","end":"21:04","startHours":19.38232066357021,"endHours":21.069932385438925,"quality":"auspicious"},{"name":"Kāla","start":"21:04","end":"22:45","startHours":21.069932385438925,"endHours":22.757544107307645,"quality":"inauspicious"},{"name":"Śubha","start":"22:45","end":"00:27","startHours":22.757544107307645,"endHours":24.445155829176365,"quality":"auspicious"},{"name":"Roga","start":"00:27","end":"02:08","startHours":24.445155829176365,"endHours":26.132767551045085,"quality":"inauspicious"},{"name":"Udveg","start":"02:08","end":"03:49","startHours":26.132767551045085,"endHours":27.820379272913804,"quality":"inauspicious"},{"name":"Chala","start":"03:49","end":"05:30","startHours":27.820379272913804,"endHours":29.50799099478252,"quality":"neutral"},{"name":"Labha","start":"05:30","end":"07:12","startHours":29.50799099478252,"endHours":31.19560271665124,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:12","end":"08:12","startHours":7.1956027166512415,"endHours":8.19560271665124,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:12","end":"09:12","startHours":8.19560271665124,"endHours":9.19560271665124,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:12","end":"10:12","startHours":9.19560271665124,"endHours":10.19560271665124,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:12","end":"11:12","startHours":10.19560271665124,"endHours":11.19560271665124,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:12","end":"12:12","startHours":11.19560271665124,"endHours":12.19560271665124,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:12","end":"13:12","startHours":12.19560271665124,"endHours":13.19560271665124,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:12","end":"14:12","startHours":13.19560271665124,"endHours":14.19560271665124,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:12","end":"15:12","startHours":14.19560271665124,"endHours":15.19560271665124,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:12","end":"16:12","startHours":15.19560271665124,"endHours":16.19560271665124,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:12","end":"17:12","startHours":16.19560271665124,"endHours":17.19560271665124,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:12","end":"18:12","startHours":17.19560271665124,"endHours":18.19560271665124,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:12","end":"19:12","startHours":18.19560271665124,"endHours":19.19560271665124,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:12","end":"20:12","startHours":19.19560271665124,"endHours":20.19560271665124,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:12","end":"21:12","startHours":20.19560271665124,"endHours":21.19560271665124,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:12","end":"22:12","startHours":21.19560271665124,"endHours":22.19560271665124,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:12","end":"23:12","startHours":22.19560271665124,"endHours":23.19560271665124,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:12","end":"00:12","startHours":23.19560271665124,"endHours":24.19560271665124,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:12","end":"01:12","startHours":24.19560271665124,"endHours":25.19560271665124,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:12","end":"02:12","startHours":25.19560271665124,"endHours":26.19560271665124,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:12","end":"03:12","startHours":26.19560271665124,"endHours":27.19560271665124,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:12","end":"04:12","startHours":27.19560271665124,"endHours":28.19560271665124,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:12","end":"05:12","startHours":28.19560271665124,"endHours":29.19560271665124,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:12","end":"06:12","startHours":29.19560271665124,"endHours":30.19560271665124,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:12","end":"07:12","startHours":30.19560271665124,"endHours":31.19560271665124,"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","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.128989195303426,"eotMinutes":5.090650249418121,"ayanamsa":25.5565}},"calendars":{"vikram_samvat":2178,"vikram_samvatsara":"Jaya","saka_samvat":2043,"saka_samvatsara":"Vṛṣa","bengali_samvat":1528,"malayalam_era":1297,"nanakshahi_year":652,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Caturthī · Vikram 2178 Jaya · Śaka 2043 Vṛṣa"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":"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, 2121 CE · Puṣkar · Vidhyamitra","description":"December 13, 2121 CE for Puṣkar: Śukla Caturthī, sūryodaya 07:12, sūryāsta 17:42.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/pushkar/2121-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/pushkar/2121-12-13","sa":"https://sa.vidhyamitra.com/city/pushkar/2121-12-13","hi":"https://hi.vidhyamitra.com/city/pushkar/2121-12-13","x-default":"https://vidhyamitra.com/city/pushkar/2121-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T10:32:00.753Z","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":"2026-05-22T10:32:00.753Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T10:32:00.753Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}