{"id":"vidhyamitra:city-day:mathura:2159-12-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2159-12-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-12-30","date_display":"December 30, 2159 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":2159,"month":12,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509981.770833,"kali_year":5261,"ahargana":1921516.2708,"sun":{"sidereal_longitude":251.3021,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":137.9665,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":246.6644,"elapsed_within_tithi_degrees":6.6644},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2,"moon_longitude":137.9665,"elapsed_within_degrees":4.6331},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":29.2685},"karana":{"half_tithi_index":41,"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":2159,"month":12,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509981.770833,"ahargana":1921516.2708,"kali_year":5261,"ayanamsa_lahiri":26.088,"grahas":{"sun":{"sidereal_longitude":251.95669599999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"moon":{"sidereal_longitude":142.118296,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false,"latitude":-4.2046},"mars":{"sidereal_longitude":319.3855960000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":264.707396,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":191.445696,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":220.846496,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":190.84539599999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":248.821,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":68.821,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2159,"month":12,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509981.770833,"kali_year":5261,"ahargana":1921516.2708,"sun":{"sidereal_longitude":251.3021,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":137.9665,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":246.6644,"elapsed_within_tithi_degrees":6.6644},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2,"moon_longitude":137.9665,"elapsed_within_degrees":4.6331},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":29.2685},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.205,"elongation":113.336},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.205,"opposition_distance":66.664}},"eclipse_window_40days":[{"offset_days":-5,"type":"lunar","occurs":true,"moon_latitude":0.227,"opposition_distance":0.032}]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:09","sunsetLocal":"17:35","solarNoonLocal":"12:22","dayLengthHours":10.42171367241824,"dayLengthDisplay":"10 Hours 25 Mins 18 Secs","nightLengthDisplay":"13 Hours 34 Mins 42 Secs","moonriseLocal":"22:50","moonsetLocal":"11:15","rahuKala":{"name":"Rāhu Kāla","start":"16:17","end":"17:35","startHours":16.27661753549471,"endHours":17.57933174454699,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:22","end":"13:40","startHours":12.36847490833787,"endHours":13.671189117390151,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:58","end":"16:17","startHours":14.97390332644243,"endHours":16.27661753549471,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:35","end":"09:56","startHours":9.589351262359674,"endHours":9.936741718106948,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:52","startHours":7.591856141812844,"endHours":7.869768506410664,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:43","startHours":12.021084452590594,"endHours":12.715865364085145,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:28","startHours":5.768056249139652,"endHours":6.462837160634201,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:09","startHours":6.289141932760564,"endHours":7.15761807212875,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:48","startHours":14.105427187074245,"endHours":14.800208098568794,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:23","end":"17:47","startHours":17.37933174454699,"endHours":17.77933174454699,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:35","end":"18:01","startHours":17.57933174454699,"endHours":18.013569814231083,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:20","end":"19:05","startHours":17.32933174454699,"endHours":19.07933174454699,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:43","startHours":24.021084452590596,"endHours":24.715865364085143,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:09","end":"08:28","startHours":7.15761807212875,"endHours":8.46033228118103,"quality":"inauspicious"},{"name":"Chala","start":"08:28","end":"09:46","startHours":8.46033228118103,"endHours":9.763046490233311,"quality":"neutral"},{"name":"Labha","start":"09:46","end":"11:04","startHours":9.763046490233311,"endHours":11.06576069928559,"quality":"auspicious"},{"name":"Amṛta","start":"11:04","end":"12:22","startHours":11.06576069928559,"endHours":12.36847490833787,"quality":"auspicious"},{"name":"Kāla","start":"12:22","end":"13:40","startHours":12.36847490833787,"endHours":13.671189117390151,"quality":"inauspicious"},{"name":"Śubha","start":"13:40","end":"14:58","startHours":13.671189117390151,"endHours":14.97390332644243,"quality":"auspicious"},{"name":"Roga","start":"14:58","end":"16:17","startHours":14.97390332644243,"endHours":16.27661753549471,"quality":"inauspicious"},{"name":"Udveg","start":"16:17","end":"17:35","startHours":16.27661753549471,"endHours":17.57933174454699,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:35","end":"19:17","startHours":17.57933174454699,"endHours":19.27661753549471,"quality":"auspicious"},{"name":"Roga","start":"19:17","end":"20:58","startHours":19.27661753549471,"endHours":20.973903326442432,"quality":"inauspicious"},{"name":"Udveg","start":"20:58","end":"22:40","startHours":20.973903326442432,"endHours":22.67118911739015,"quality":"inauspicious"},{"name":"Chala","start":"22:40","end":"00:22","startHours":22.67118911739015,"endHours":24.36847490833787,"quality":"neutral"},{"name":"Labha","start":"00:22","end":"02:04","startHours":24.36847490833787,"endHours":26.06576069928559,"quality":"auspicious"},{"name":"Amṛta","start":"02:04","end":"03:46","startHours":26.06576069928559,"endHours":27.76304649023331,"quality":"auspicious"},{"name":"Kāla","start":"03:46","end":"05:28","startHours":27.76304649023331,"endHours":29.46033228118103,"quality":"inauspicious"},{"name":"Śubha","start":"05:28","end":"07:09","startHours":29.46033228118103,"endHours":31.15761807212875,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.15761807212875,"endHours":8.15761807212875,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.15761807212875,"endHours":9.15761807212875,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.15761807212875,"endHours":10.15761807212875,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.15761807212875,"endHours":11.15761807212875,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.15761807212875,"endHours":12.15761807212875,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.15761807212875,"endHours":13.15761807212875,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.15761807212875,"endHours":14.15761807212875,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.15761807212875,"endHours":15.15761807212875,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.15761807212875,"endHours":16.15761807212875,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.15761807212875,"endHours":17.15761807212875,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.15761807212875,"endHours":18.15761807212875,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.15761807212875,"endHours":19.15761807212875,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.15761807212875,"endHours":20.15761807212875,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.15761807212875,"endHours":21.15761807212875,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.15761807212875,"endHours":22.15761807212875,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.15761807212875,"endHours":23.15761807212875,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.15761807212875,"endHours":24.15761807212875,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.15761807212875,"endHours":25.15761807212875,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.15761807212875,"endHours":26.15761807212875,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.15761807212875,"endHours":27.15761807212875,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.15761807212875,"endHours":28.15761807212875,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.15761807212875,"endHours":29.15761807212875,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.15761807212875,"endHours":30.15761807212875,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.15761807212875,"endHours":31.15761807212875,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Chatra","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":-23.192304505395466,"eotMinutes":-2.803294500272213,"ayanamsa":26.088}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"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":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Ṣaṣṭhī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"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":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 30, 2159 CE · Mathurā · Vidhyamitra","description":"December 30, 2159 CE for Mathurā: Kṛṣṇa Ṣaṣṭhī, sūryodaya 07:09, sūryāsta 17:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2159-12-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2159-12-30","sa":"https://sa.vidhyamitra.com/city/mathura/2159-12-30","hi":"https://hi.vidhyamitra.com/city/mathura/2159-12-30","x-default":"https://vidhyamitra.com/city/mathura/2159-12-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T09:57:45.837Z","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":"2026-05-31T09:57:45.837Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T09:57:45.837Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}