{"id":"vidhyamitra:city-day:vrindavan:1998-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1998-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1998-12-13","date_display":"December 13, 1998 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":1998,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451160.770833,"kali_year":5100,"ahargana":1862695.2708,"sun":{"sidereal_longitude":236.5766,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":169.7774,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":293.2008,"elapsed_within_tithi_degrees":5.2008},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":169.7774,"elapsed_within_degrees":9.7774},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":46.354},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1998,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2451160.770833,"ahargana":1862695.2708,"kali_year":5100,"ayanamsa_lahiri":23.8383,"grahas":{"sun":{"sidereal_longitude":236.97819099999992,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":172.23779100000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":3.1433},"mars":{"sidereal_longitude":164.74489100000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":217.63289099999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":325.771791,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":247.79249099999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":3.116191000000015,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":125.4406,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":305.4406,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"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":1998,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451160.770833,"kali_year":5100,"ahargana":1862695.2708,"sun":{"sidereal_longitude":236.5766,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":169.7774,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":293.2008,"elapsed_within_tithi_degrees":5.2008},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":169.7774,"elapsed_within_degrees":9.7774},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":46.354},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.143,"elongation":66.799},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.143,"opposition_distance":113.201}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:02","sunsetLocal":"17:27","solarNoonLocal":"12:14","dayLengthHours":10.422547170115681,"dayLengthDisplay":"10 Hours 25 Mins 21 Secs","nightLengthDisplay":"13 Hours 34 Mins 39 Secs","moonriseLocal":"02:06","moonsetLocal":"13:45","rahuKala":{"name":"Rāhu Kāla","start":"16:09","end":"17:27","startHours":16.14632435130308,"endHours":17.44914274756754,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:14","end":"13:32","startHours":12.237869162509698,"endHours":13.540687558774158,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:51","end":"16:09","startHours":14.84350595503862,"endHours":16.14632435130308,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:48","startHours":9.45852325047885,"endHours":9.805941489482706,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:28","end":"07:44","startHours":7.460868376206678,"endHours":7.738802967409763,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:35","startHours":11.890450923505842,"endHours":12.585287401513554,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:38","end":"06:20","startHours":5.636922621436433,"endHours":6.331759099444145,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:09","end":"07:02","startHours":6.158049979942217,"endHours":7.026595577451857,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:40","startHours":13.974960357528978,"endHours":14.66979683553669,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.24914274756754,"endHours":17.649142747567538,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.44914274756754,"endHours":17.883415546322357,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.19914274756754,"endHours":18.94914274756754,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:35","startHours":23.89045092350584,"endHours":24.585287401513554,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:02","end":"08:20","startHours":7.026595577451857,"endHours":8.329413973716317,"quality":"inauspicious"},{"name":"Chala","start":"08:20","end":"09:38","startHours":8.329413973716317,"endHours":9.632232369980777,"quality":"neutral"},{"name":"Labha","start":"09:38","end":"10:56","startHours":9.632232369980777,"endHours":10.935050766245238,"quality":"auspicious"},{"name":"Amṛta","start":"10:56","end":"12:14","startHours":10.935050766245238,"endHours":12.237869162509698,"quality":"auspicious"},{"name":"Kāla","start":"12:14","end":"13:32","startHours":12.237869162509698,"endHours":13.540687558774158,"quality":"inauspicious"},{"name":"Śubha","start":"13:32","end":"14:51","startHours":13.540687558774158,"endHours":14.84350595503862,"quality":"auspicious"},{"name":"Roga","start":"14:51","end":"16:09","startHours":14.84350595503862,"endHours":16.14632435130308,"quality":"inauspicious"},{"name":"Udveg","start":"16:09","end":"17:27","startHours":16.14632435130308,"endHours":17.44914274756754,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:27","end":"19:09","startHours":17.44914274756754,"endHours":19.14632435130308,"quality":"auspicious"},{"name":"Roga","start":"19:09","end":"20:51","startHours":19.14632435130308,"endHours":20.84350595503862,"quality":"inauspicious"},{"name":"Udveg","start":"20:51","end":"22:32","startHours":20.84350595503862,"endHours":22.54068755877416,"quality":"inauspicious"},{"name":"Chala","start":"22:32","end":"00:14","startHours":22.54068755877416,"endHours":24.237869162509696,"quality":"neutral"},{"name":"Labha","start":"00:14","end":"01:56","startHours":24.237869162509696,"endHours":25.93505076624524,"quality":"auspicious"},{"name":"Amṛta","start":"01:56","end":"03:38","startHours":25.93505076624524,"endHours":27.632232369980777,"quality":"auspicious"},{"name":"Kāla","start":"03:38","end":"05:20","startHours":27.632232369980777,"endHours":29.329413973716317,"quality":"inauspicious"},{"name":"Śubha","start":"05:20","end":"07:02","startHours":29.329413973716317,"endHours":31.026595577451857,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:02","end":"08:02","startHours":7.026595577451857,"endHours":8.026595577451857,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:02","end":"09:02","startHours":8.026595577451857,"endHours":9.026595577451857,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:02","end":"10:02","startHours":9.026595577451857,"endHours":10.026595577451857,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:02","end":"11:02","startHours":10.026595577451857,"endHours":11.026595577451857,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:02","end":"12:02","startHours":11.026595577451857,"endHours":12.026595577451857,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:02","end":"13:02","startHours":12.026595577451857,"endHours":13.026595577451857,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:02","end":"14:02","startHours":13.026595577451857,"endHours":14.026595577451857,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:02","end":"15:02","startHours":14.026595577451857,"endHours":15.026595577451857,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:02","end":"16:02","startHours":15.026595577451857,"endHours":16.026595577451857,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:02","end":"17:02","startHours":16.026595577451857,"endHours":17.026595577451857,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:02","end":"18:02","startHours":17.026595577451857,"endHours":18.026595577451857,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:02","end":"19:02","startHours":18.026595577451857,"endHours":19.026595577451857,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:02","end":"20:02","startHours":19.026595577451857,"endHours":20.026595577451857,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:02","end":"21:02","startHours":20.026595577451857,"endHours":21.026595577451857,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:02","end":"22:02","startHours":21.026595577451857,"endHours":22.026595577451857,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:02","end":"23:02","startHours":22.026595577451857,"endHours":23.026595577451857,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:02","end":"00:02","startHours":23.026595577451857,"endHours":24.026595577451857,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:02","end":"01:02","startHours":24.026595577451857,"endHours":25.026595577451857,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:02","end":"02:02","startHours":25.026595577451857,"endHours":26.026595577451857,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:02","end":"03:02","startHours":26.026595577451857,"endHours":27.026595577451857,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:02","end":"04:02","startHours":27.026595577451857,"endHours":28.026595577451857,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:02","end":"05:02","startHours":28.026595577451857,"endHours":29.026595577451857,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:02","end":"06:02","startHours":29.026595577451857,"endHours":30.026595577451857,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:02","end":"07:02","startHours":30.026595577451857,"endHours":31.026595577451857,"planetary_lord":"Jupiter"}],"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","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.11852049633227,"eotMinutes":5.090650249418121,"ayanamsa":23.8383}},"calendars":{"vikram_samvat":2055,"vikram_samvatsara":"Khara","saka_samvat":1920,"saka_samvatsara":"Bahudhānya","bengali_samvat":1405,"malayalam_era":1174,"nanakshahi_year":529,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Pauṣa Kṛṣṇa Daśamī · Vikram 2055 Khara · Śaka 1920 Bahudhānya"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"vrindavan"},"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, 1998 CE · Vṛndāvana · Vidhyamitra","description":"December 13, 1998 CE for Vṛndāvana: Kṛṣṇa Daśamī, sūryodaya 07:02, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1998-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1998-12-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/1998-12-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/1998-12-13","x-default":"https://vidhyamitra.com/city/vrindavan/1998-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T10:28:42.681Z","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":"2026-05-31T10:28:42.681Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T10:28:42.681Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}