{"id":"vidhyamitra:city-day:pushkar:2101-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/pushkar/2101-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2101-01-13","date_display":"January 13, 2101 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":2101,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488446.770833,"kali_year":5202,"ahargana":1899981.2708,"sun":{"sidereal_longitude":266.9956,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":58.4102,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.4146,"elapsed_within_tithi_degrees":7.4146},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":58.4102,"elapsed_within_degrees":5.0769},"yoga":{"number":25,"name":"Brahma","sum_longitude":325.4058},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2101,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488446.770833,"ahargana":1899981.2708,"kali_year":5202,"ayanamsa_lahiri":25.2644,"grahas":{"sun":{"sidereal_longitude":267.37539100000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":59.925291000000016,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false,"latitude":4.2655},"mars":{"sidereal_longitude":235.93519100000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":283.13219100000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":202.67209100000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":254.28119100000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":191.18789100000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":309.8489,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":129.8489,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2101,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488446.770833,"kali_year":5202,"ahargana":1899981.2708,"sun":{"sidereal_longitude":266.9956,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":58.4102,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.4146,"elapsed_within_tithi_degrees":7.4146},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":58.4102,"elapsed_within_degrees":5.0769},"yoga":{"number":25,"name":"Brahma","sum_longitude":325.4058},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.265,"elongation":151.415},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.265,"opposition_distance":28.585}},"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":"07:22","sunsetLocal":"17:59","solarNoonLocal":"12:40","dayLengthHours":10.62350702376279,"dayLengthDisplay":"10 Hours 37 Mins 25 Secs","nightLengthDisplay":"13 Hours 22 Mins 35 Secs","moonriseLocal":"15:58","moonsetLocal":"05:43","rahuKala":{"name":"Rāhu Kāla","start":"14:00","end":"15:20","startHours":14.001870569493244,"endHours":15.329808947463594,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:22","end":"08:41","startHours":7.3621786796415,"endHours":8.690117057611848,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:01","end":"11:21","startHours":10.018055435582198,"endHours":11.345993813552546,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:50","end":"10:12","startHours":9.840996985186152,"endHours":10.195113885978245,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:48","end":"08:05","startHours":7.804824805631616,"endHours":8.08811832626529,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:19","end":"13:02","startHours":12.319815290730801,"endHours":13.028049092314987,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:57","end":"06:39","startHours":5.945711076473128,"endHours":6.653944878057313,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:29","end":"07:22","startHours":6.476886427661267,"endHours":7.3621786796415,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:09","startHours":14.44451669548336,"endHours":15.152750497067546,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:47","end":"18:11","startHours":17.78568570340429,"endHours":18.18568570340429,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:59","end":"18:26","startHours":17.98568570340429,"endHours":18.428331829394406,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:44","end":"19:29","startHours":17.73568570340429,"endHours":19.48568570340429,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:19","end":"01:02","startHours":24.3198152907308,"endHours":25.028049092314987,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:22","end":"08:41","startHours":7.3621786796415,"endHours":8.690117057611848,"quality":"auspicious"},{"name":"Roga","start":"08:41","end":"10:01","startHours":8.690117057611848,"endHours":10.018055435582198,"quality":"inauspicious"},{"name":"Udveg","start":"10:01","end":"11:21","startHours":10.018055435582198,"endHours":11.345993813552546,"quality":"inauspicious"},{"name":"Chala","start":"11:21","end":"12:40","startHours":11.345993813552546,"endHours":12.673932191522894,"quality":"neutral"},{"name":"Labha","start":"12:40","end":"14:00","startHours":12.673932191522894,"endHours":14.001870569493244,"quality":"auspicious"},{"name":"Amṛta","start":"14:00","end":"15:20","startHours":14.001870569493244,"endHours":15.329808947463594,"quality":"auspicious"},{"name":"Kāla","start":"15:20","end":"16:39","startHours":15.329808947463594,"endHours":16.65774732543394,"quality":"inauspicious"},{"name":"Śubha","start":"16:39","end":"17:59","startHours":16.65774732543394,"endHours":17.98568570340429,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:59","end":"19:39","startHours":17.98568570340429,"endHours":19.65774732543394,"quality":"auspicious"},{"name":"Kāla","start":"19:39","end":"21:20","startHours":19.65774732543394,"endHours":21.32980894746359,"quality":"inauspicious"},{"name":"Śubha","start":"21:20","end":"23:00","startHours":21.32980894746359,"endHours":23.001870569493242,"quality":"auspicious"},{"name":"Roga","start":"23:00","end":"00:40","startHours":23.001870569493242,"endHours":24.673932191522894,"quality":"inauspicious"},{"name":"Udveg","start":"00:40","end":"02:21","startHours":24.673932191522894,"endHours":26.345993813552546,"quality":"inauspicious"},{"name":"Chala","start":"02:21","end":"04:01","startHours":26.345993813552546,"endHours":28.0180554355822,"quality":"neutral"},{"name":"Labha","start":"04:01","end":"05:41","startHours":28.0180554355822,"endHours":29.690117057611847,"quality":"auspicious"},{"name":"Amṛta","start":"05:41","end":"07:22","startHours":29.690117057611847,"endHours":31.3621786796415,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:22","end":"08:22","startHours":7.3621786796415,"endHours":8.362178679641499,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:22","end":"09:22","startHours":8.362178679641499,"endHours":9.362178679641499,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:22","end":"10:22","startHours":9.362178679641499,"endHours":10.362178679641499,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:22","end":"11:22","startHours":10.362178679641499,"endHours":11.362178679641499,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:22","end":"12:22","startHours":11.362178679641499,"endHours":12.362178679641499,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:22","end":"13:22","startHours":12.362178679641499,"endHours":13.362178679641499,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:22","end":"14:22","startHours":13.362178679641499,"endHours":14.362178679641499,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:22","end":"15:22","startHours":14.362178679641499,"endHours":15.362178679641499,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:22","end":"16:22","startHours":15.362178679641499,"endHours":16.3621786796415,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:22","end":"17:22","startHours":16.3621786796415,"endHours":17.3621786796415,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:22","end":"18:22","startHours":17.3621786796415,"endHours":18.3621786796415,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:22","end":"19:22","startHours":18.3621786796415,"endHours":19.3621786796415,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:22","end":"20:22","startHours":19.3621786796415,"endHours":20.3621786796415,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:22","end":"21:22","startHours":20.3621786796415,"endHours":21.3621786796415,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:22","end":"22:22","startHours":21.3621786796415,"endHours":22.3621786796415,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:22","end":"23:22","startHours":22.3621786796415,"endHours":23.3621786796415,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:22","end":"00:22","startHours":23.3621786796415,"endHours":24.3621786796415,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:22","end":"01:22","startHours":24.3621786796415,"endHours":25.3621786796415,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:22","end":"02:22","startHours":25.3621786796415,"endHours":26.3621786796415,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:22","end":"03:22","startHours":26.3621786796415,"endHours":27.3621786796415,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:22","end":"04:22","startHours":27.3621786796415,"endHours":28.3621786796415,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:22","end":"05:22","startHours":28.3621786796415,"endHours":29.3621786796415,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:22","end":"06:22","startHours":29.3621786796415,"endHours":30.3621786796415,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:22","end":"07:22","startHours":30.3621786796415,"endHours":31.3621786796415,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-21.53591873928748,"eotMinutes":-8.635931491373626,"ayanamsa":25.2644}},"calendars":{"vikram_samvat":2158,"vikram_samvatsara":"Bhāva","saka_samvat":2023,"saka_samvatsara":"Durmati","bengali_samvat":1508,"malayalam_era":1277,"nanakshahi_year":632,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Trayodaśī · Vikram 2158 Bhāva · Śaka 2023 Durmati"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 January 13, 2101 CE · Puṣkar · Vidhyamitra","description":"January 13, 2101 CE for Puṣkar: Śukla Trayodaśī, sūryodaya 07:22, sūryāsta 17:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/pushkar/2101-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/pushkar/2101-01-13","sa":"https://sa.vidhyamitra.com/city/pushkar/2101-01-13","hi":"https://hi.vidhyamitra.com/city/pushkar/2101-01-13","x-default":"https://vidhyamitra.com/city/pushkar/2101-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-20T20:39:43.604Z","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":"2026-05-20T20:39:43.604Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-20T20:39:43.604Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}