{"id":"vidhyamitra:city-day:pushkar:1987-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/pushkar/1987-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1987-01-03","date_display":"January 3, 1987 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1987,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2446798.770833,"kali_year":5088,"ahargana":1858333.2708,"sun":{"sidereal_longitude":258.2568,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":296.9035,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":38.6467,"elapsed_within_tithi_degrees":2.6467},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":296.9035,"elapsed_within_degrees":3.5701},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.1603},"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":1987,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2446798.770833,"ahargana":1858333.2708,"kali_year":5088,"ayanamsa_lahiri":23.6715,"grahas":{"sun":{"sidereal_longitude":258.443851,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":299.338851,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false,"latitude":-3.8826},"mars":{"sidereal_longitude":332.647651,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":252.93285100000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":324.93465100000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":212.366351,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":231.57415100000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":356.5604,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":176.5604,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1987,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2446798.770833,"kali_year":5088,"ahargana":1858333.2708,"sun":{"sidereal_longitude":258.2568,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":296.9035,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":38.6467,"elapsed_within_tithi_degrees":2.6467},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":296.9035,"elapsed_within_degrees":3.5701},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.1603},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.883,"elongation":38.647},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.883,"opposition_distance":141.353}},"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":"07:21","sunsetLocal":"17:52","solarNoonLocal":"12:36","dayLengthHours":10.518408178051303,"dayLengthDisplay":"10 Hours 31 Mins 06 Secs","nightLengthDisplay":"13 Hours 28 Mins 54 Secs","moonriseLocal":"09:45","moonsetLocal":"20:54","rahuKala":{"name":"Rāhu Kāla","start":"09:59","end":"11:18","startHours":9.976888302664811,"endHours":11.291689324921222,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:55","end":"15:14","startHours":13.921291369434048,"endHours":15.236092391690462,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:21","end":"08:40","startHours":7.347286258151985,"endHours":8.662087280408397,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:48","end":"10:09","startHours":9.801581499697289,"endHours":10.152195105632332,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:47","end":"08:04","startHours":7.785553265570789,"endHours":8.066044150318824,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:15","end":"12:57","startHours":12.255876741242593,"endHours":12.95710395311268,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:57","end":"06:39","startHours":5.944831834411811,"endHours":6.646059046281898,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:28","end":"07:21","startHours":6.470752243314376,"endHours":7.347286258151985,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:04","startHours":14.359558376852853,"endHours":15.06078558872294,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:40","end":"18:04","startHours":17.66569443620329,"endHours":18.065694436203287,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:52","end":"18:18","startHours":17.865694436203288,"endHours":18.303961443622093,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:37","end":"19:22","startHours":17.615694436203288,"endHours":19.365694436203288,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:15","end":"00:57","startHours":24.255876741242595,"endHours":24.95710395311268,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:21","end":"08:40","startHours":7.347286258151985,"endHours":8.662087280408397,"quality":"inauspicious"},{"name":"Śubha","start":"08:40","end":"09:59","startHours":8.662087280408397,"endHours":9.976888302664811,"quality":"auspicious"},{"name":"Roga","start":"09:59","end":"11:18","startHours":9.976888302664811,"endHours":11.291689324921222,"quality":"inauspicious"},{"name":"Udveg","start":"11:18","end":"12:36","startHours":11.291689324921222,"endHours":12.606490347177637,"quality":"inauspicious"},{"name":"Chala","start":"12:36","end":"13:55","startHours":12.606490347177637,"endHours":13.921291369434048,"quality":"neutral"},{"name":"Labha","start":"13:55","end":"15:14","startHours":13.921291369434048,"endHours":15.236092391690462,"quality":"auspicious"},{"name":"Amṛta","start":"15:14","end":"16:33","startHours":15.236092391690462,"endHours":16.550893413946874,"quality":"auspicious"},{"name":"Kāla","start":"16:33","end":"17:52","startHours":16.550893413946874,"endHours":17.865694436203288,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:52","end":"19:33","startHours":17.865694436203288,"endHours":19.550893413946874,"quality":"auspicious"},{"name":"Amṛta","start":"19:33","end":"21:14","startHours":19.550893413946874,"endHours":21.236092391690462,"quality":"auspicious"},{"name":"Kāla","start":"21:14","end":"22:55","startHours":21.236092391690462,"endHours":22.92129136943405,"quality":"inauspicious"},{"name":"Śubha","start":"22:55","end":"00:36","startHours":22.92129136943405,"endHours":24.606490347177637,"quality":"auspicious"},{"name":"Roga","start":"00:36","end":"02:18","startHours":24.606490347177637,"endHours":26.291689324921222,"quality":"inauspicious"},{"name":"Udveg","start":"02:18","end":"03:59","startHours":26.291689324921222,"endHours":27.97688830266481,"quality":"inauspicious"},{"name":"Chala","start":"03:59","end":"05:40","startHours":27.97688830266481,"endHours":29.6620872804084,"quality":"neutral"},{"name":"Labha","start":"05:40","end":"07:21","startHours":29.6620872804084,"endHours":31.347286258151986,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:21","end":"08:21","startHours":7.347286258151985,"endHours":8.347286258151986,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:21","end":"09:21","startHours":8.347286258151986,"endHours":9.347286258151986,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:21","end":"10:21","startHours":9.347286258151986,"endHours":10.347286258151986,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:21","end":"11:21","startHours":10.347286258151986,"endHours":11.347286258151986,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:21","end":"12:21","startHours":11.347286258151986,"endHours":12.347286258151986,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:21","end":"13:21","startHours":12.347286258151986,"endHours":13.347286258151986,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:21","end":"14:21","startHours":13.347286258151986,"endHours":14.347286258151986,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:21","end":"15:21","startHours":14.347286258151986,"endHours":15.347286258151986,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:21","end":"16:21","startHours":15.347286258151986,"endHours":16.347286258151986,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:21","end":"17:21","startHours":16.347286258151986,"endHours":17.347286258151986,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:21","end":"18:21","startHours":17.347286258151986,"endHours":18.347286258151986,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:21","end":"19:21","startHours":18.347286258151986,"endHours":19.347286258151986,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:21","end":"20:21","startHours":19.347286258151986,"endHours":20.347286258151986,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:21","end":"21:21","startHours":20.347286258151986,"endHours":21.347286258151986,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:21","end":"22:21","startHours":21.347286258151986,"endHours":22.347286258151986,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:21","end":"23:21","startHours":22.347286258151986,"endHours":23.347286258151986,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:21","end":"00:21","startHours":23.347286258151986,"endHours":24.347286258151986,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:21","end":"01:21","startHours":24.347286258151986,"endHours":25.347286258151986,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:21","end":"02:21","startHours":25.347286258151986,"endHours":26.347286258151986,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:21","end":"03:21","startHours":26.347286258151986,"endHours":27.347286258151986,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:21","end":"04:21","startHours":27.347286258151986,"endHours":28.347286258151986,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:21","end":"05:21","startHours":28.347286258151986,"endHours":29.347286258151986,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:21","end":"06:21","startHours":29.347286258151986,"endHours":30.347286258151986,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:21","end":"07:21","startHours":30.347286258151986,"endHours":31.347286258151986,"planetary_lord":"Mercury"}],"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.884440950032452,"eotMinutes":-4.589420830658165,"ayanamsa":23.6715}},"calendars":{"vikram_samvat":2044,"vikram_samvatsara":"Vikrama","saka_samvat":1909,"saka_samvatsara":"Prabhava","bengali_samvat":1394,"malayalam_era":1163,"nanakshahi_year":518,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Caturthī · Vikram 2044 Vikrama · Śaka 1909 Prabhava"},"festivals":[{"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":"Dedicated festival walk for Vināyaka Caturthī (monthly) is not live yet; 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 January 3, 1987 CE · Puṣkar · Vidhyamitra","description":"January 3, 1987 CE for Puṣkar: Śukla Caturthī, sūryodaya 07:21, sūryāsta 17:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/pushkar/1987-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/pushkar/1987-01-03","sa":"https://sa.vidhyamitra.com/city/pushkar/1987-01-03","hi":"https://hi.vidhyamitra.com/city/pushkar/1987-01-03","x-default":"https://vidhyamitra.com/city/pushkar/1987-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-05T22:58:51.803Z","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":"2026-09-05T22:58:51.803Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-05T22:58:51.803Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}