{"id":"vidhyamitra:city-day:pushkar:2109-09-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/pushkar/2109-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2109-09-13","date_display":"September 13, 2109 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":2109,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491611.770833,"kali_year":5211,"ahargana":1903146.2708,"sun":{"sidereal_longitude":143.8376,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":9.0246,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":225.187,"elapsed_within_tithi_degrees":9.187},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":9.0246,"elapsed_within_degrees":9.0246},"yoga":{"number":12,"name":"Dhruva","sum_longitude":152.8623},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2109,"month":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2491611.770833,"ahargana":1903146.2708,"kali_year":5211,"ayanamsa_lahiri":25.3854,"grahas":{"sun":{"sidereal_longitude":144.82216500000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":6.593864999999994,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false,"latitude":-3.2827},"mars":{"sidereal_longitude":111.976565,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":125.63396499999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":109.24586499999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":188.687765,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":278.17086500000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":142.152,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":322.152,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"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":2109,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491611.770833,"kali_year":5211,"ahargana":1903146.2708,"sun":{"sidereal_longitude":143.8376,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":9.0246,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":225.187,"elapsed_within_tithi_degrees":9.187},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":9.0246,"elapsed_within_degrees":9.0246},"yoga":{"number":12,"name":"Dhruva","sum_longitude":152.8623},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.283,"elongation":134.813},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.283,"opposition_distance":45.187}},"eclipse_window_40days":[{"offset_days":-4,"type":"lunar","occurs":true,"moon_latitude":0.314,"opposition_distance":1.611},{"offset_days":12,"type":"solar","occurs":true,"moon_latitude":1.308,"elongation":2.915}]},"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":"06:16","sunsetLocal":"18:39","solarNoonLocal":"12:27","dayLengthHours":12.382670411198887,"dayLengthDisplay":"12 Hours 22 Mins 58 Secs","nightLengthDisplay":"11 Hours 37 Mins 02 Secs","moonriseLocal":"20:47","moonsetLocal":"09:41","rahuKala":{"name":"Rāhu Kāla","start":"10:54","end":"12:27","startHours":10.902935016435706,"endHours":12.450768817835566,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:33","end":"17:06","startHours":15.546436420635288,"endHours":17.09427022203515,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:48","end":"09:21","startHours":7.807267413635983,"endHours":9.355101215035845,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:09","end":"09:34","startHours":9.148723374849196,"endHours":9.561479055222492,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:47","end":"07:06","startHours":6.775378212702742,"endHours":7.105582757001379,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:52","startHours":12.03801313746227,"endHours":12.863524498208863,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:37","end":"05:26","startHours":4.608410890742936,"endHours":5.43392225148953,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:14","end":"06:16","startHours":5.2275444113028815,"endHours":6.259433612236122,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:20","startHours":14.514547219702045,"endHours":15.340058580448638,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:27","end":"18:51","startHours":18.44210402343501,"endHours":18.84210402343501,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:39","end":"19:09","startHours":18.64210402343501,"endHours":19.15804862390163,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:24","end":"20:09","startHours":18.39210402343501,"endHours":20.14210402343501,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:52","startHours":24.03801313746227,"endHours":24.863524498208864,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:16","end":"07:48","startHours":6.259433612236122,"endHours":7.807267413635983,"quality":"neutral"},{"name":"Labha","start":"07:48","end":"09:21","startHours":7.807267413635983,"endHours":9.355101215035845,"quality":"auspicious"},{"name":"Amṛta","start":"09:21","end":"10:54","startHours":9.355101215035845,"endHours":10.902935016435706,"quality":"auspicious"},{"name":"Kāla","start":"10:54","end":"12:27","startHours":10.902935016435706,"endHours":12.450768817835566,"quality":"inauspicious"},{"name":"Śubha","start":"12:27","end":"14:00","startHours":12.450768817835566,"endHours":13.998602619235427,"quality":"auspicious"},{"name":"Roga","start":"14:00","end":"15:33","startHours":13.998602619235427,"endHours":15.546436420635288,"quality":"inauspicious"},{"name":"Udveg","start":"15:33","end":"17:06","startHours":15.546436420635288,"endHours":17.09427022203515,"quality":"inauspicious"},{"name":"Chala","start":"17:06","end":"18:39","startHours":17.09427022203515,"endHours":18.64210402343501,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:39","end":"20:06","startHours":18.64210402343501,"endHours":20.09427022203515,"quality":"inauspicious"},{"name":"Udveg","start":"20:06","end":"21:33","startHours":20.09427022203515,"endHours":21.54643642063529,"quality":"inauspicious"},{"name":"Chala","start":"21:33","end":"23:00","startHours":21.54643642063529,"endHours":22.998602619235427,"quality":"neutral"},{"name":"Labha","start":"23:00","end":"00:27","startHours":22.998602619235427,"endHours":24.450768817835566,"quality":"auspicious"},{"name":"Amṛta","start":"00:27","end":"01:54","startHours":24.450768817835566,"endHours":25.902935016435706,"quality":"auspicious"},{"name":"Kāla","start":"01:54","end":"03:21","startHours":25.902935016435706,"endHours":27.355101215035845,"quality":"inauspicious"},{"name":"Śubha","start":"03:21","end":"04:48","startHours":27.355101215035845,"endHours":28.807267413635984,"quality":"auspicious"},{"name":"Roga","start":"04:48","end":"06:16","startHours":28.807267413635984,"endHours":30.259433612236123,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:16","end":"07:16","startHours":6.259433612236122,"endHours":7.259433612236122,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:16","end":"08:16","startHours":7.259433612236122,"endHours":8.259433612236123,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:16","end":"09:16","startHours":8.259433612236123,"endHours":9.259433612236123,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:16","end":"10:16","startHours":9.259433612236123,"endHours":10.259433612236123,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:16","end":"11:16","startHours":10.259433612236123,"endHours":11.259433612236123,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:16","end":"12:16","startHours":11.259433612236123,"endHours":12.259433612236123,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:16","end":"13:16","startHours":12.259433612236123,"endHours":13.259433612236123,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:16","end":"14:16","startHours":13.259433612236123,"endHours":14.259433612236123,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:16","end":"15:16","startHours":14.259433612236123,"endHours":15.259433612236123,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:16","end":"16:16","startHours":15.259433612236123,"endHours":16.259433612236123,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:16","end":"17:16","startHours":16.259433612236123,"endHours":17.259433612236123,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:16","end":"18:16","startHours":17.259433612236123,"endHours":18.259433612236123,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:16","end":"19:16","startHours":18.259433612236123,"endHours":19.259433612236123,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:16","end":"20:16","startHours":19.259433612236123,"endHours":20.259433612236123,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:16","end":"21:16","startHours":20.259433612236123,"endHours":21.259433612236123,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:16","end":"22:16","startHours":21.259433612236123,"endHours":22.259433612236123,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:16","end":"23:16","startHours":22.259433612236123,"endHours":23.259433612236123,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:16","end":"00:16","startHours":23.259433612236123,"endHours":24.259433612236123,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:16","end":"01:16","startHours":24.259433612236123,"endHours":25.259433612236123,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:16","end":"02:16","startHours":25.259433612236123,"endHours":26.259433612236123,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:16","end":"03:16","startHours":26.259433612236123,"endHours":27.259433612236123,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:16","end":"04:16","startHours":27.259433612236123,"endHours":28.259433612236123,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:16","end":"05:16","startHours":28.259433612236123,"endHours":29.259433612236123,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:16","end":"06:16","startHours":29.259433612236123,"endHours":30.259433612236123,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":3.878797782983738,"eotMinutes":4.753870929866006,"ayanamsa":25.3854}},"calendars":{"vikram_samvat":2166,"vikram_samvatsara":"Citrabhānu","saka_samvat":2031,"saka_samvatsara":"Śukla","bengali_samvat":1516,"malayalam_era":1285,"nanakshahi_year":640,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Caturthī · Vikram 2166 Citrabhānu · Śaka 2031 Śukla"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","relevance":0.5}]},"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 September 13, 2109 CE · Puṣkar · Vidhyamitra","description":"September 13, 2109 CE for Puṣkar: Kṛṣṇa Caturthī, sūryodaya 06:16, sūryāsta 18:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/pushkar/2109-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/pushkar/2109-09-13","sa":"https://sa.vidhyamitra.com/city/pushkar/2109-09-13","hi":"https://hi.vidhyamitra.com/city/pushkar/2109-09-13","x-default":"https://vidhyamitra.com/city/pushkar/2109-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T19:19:36.194Z","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":"2026-05-31T19:19:36.194Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T19:19:36.194Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}