{"id":"vidhyamitra:city-day:mathura:2075-09-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2075-09-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2075-09-29","date_display":"September 29, 2075 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":2075,"month":9,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479209.770833,"kali_year":5177,"ahargana":1890744.2708,"sun":{"sidereal_longitude":160.2191,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":37.3932,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":237.1741,"elapsed_within_tithi_degrees":9.1741},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":37.3932,"elapsed_within_degrees":10.7265},"yoga":{"number":15,"name":"Vajra","sum_longitude":197.6122},"karana":{"half_tithi_index":39,"name":"Taitila"},"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":2075,"month":9,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479209.770833,"ahargana":1890744.2708,"kali_year":5177,"ayanamsa_lahiri":24.9111,"grahas":{"sun":{"sidereal_longitude":161.14681300000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"moon":{"sidereal_longitude":37.067113000000006,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false,"latitude":-3.0022},"mars":{"sidereal_longitude":106.87291299999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":143.25291299999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":151.204113,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":176.719513,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":227.71831300000008,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":79.2696,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":259.2696,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"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":2075,"month":9,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479209.770833,"kali_year":5177,"ahargana":1890744.2708,"sun":{"sidereal_longitude":160.2191,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":37.3932,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":237.1741,"elapsed_within_tithi_degrees":9.1741},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":37.3932,"elapsed_within_degrees":10.7265},"yoga":{"number":15,"name":"Vajra","sum_longitude":197.6122},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.002,"elongation":122.826},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.002,"opposition_distance":57.174}},"eclipse_window_40days":[]},"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":"06:10","sunsetLocal":"18:08","solarNoonLocal":"12:09","dayLengthHours":11.958294117595655,"dayLengthDisplay":"11 Hours 57 Mins 30 Secs","nightLengthDisplay":"12 Hours 02 Mins 30 Secs","moonriseLocal":"21:05","moonsetLocal":"10:40","rahuKala":{"name":"Rāhu Kāla","start":"16:38","end":"18:08","startHours":16.63085435470157,"endHours":18.125641119401024,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:09","end":"13:38","startHours":12.146494060603196,"endHours":13.641280825302655,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:08","end":"16:38","startHours":15.13606759000211,"endHours":16.63085435470157,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:57","end":"09:21","startHours":8.957615629244355,"endHours":9.35622543316421,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:40","end":"06:59","startHours":6.665609256705189,"endHours":6.9844970998410725,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:45","end":"12:33","startHours":11.74788425668334,"endHours":12.545103864523051,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:34","end":"05:22","startHours":4.572907786125949,"endHours":5.370127393965659,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:10","end":"06:10","startHours":5.1708224920057315,"endHours":6.1673470018053695,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:56","startHours":14.139543080202472,"endHours":14.936762688042183,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:56","end":"18:20","startHours":17.925641119401025,"endHours":18.325641119401023,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:08","end":"18:37","startHours":18.125641119401024,"endHours":18.62390337430084,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:53","end":"19:38","startHours":17.875641119401024,"endHours":19.625641119401024,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:45","end":"00:33","startHours":23.747884256683342,"endHours":24.54510386452305,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:10","end":"07:40","startHours":6.1673470018053695,"endHours":7.662133766504827,"quality":"inauspicious"},{"name":"Chala","start":"07:40","end":"09:09","startHours":7.662133766504827,"endHours":9.156920531204284,"quality":"neutral"},{"name":"Labha","start":"09:09","end":"10:39","startHours":9.156920531204284,"endHours":10.65170729590374,"quality":"auspicious"},{"name":"Amṛta","start":"10:39","end":"12:09","startHours":10.65170729590374,"endHours":12.146494060603196,"quality":"auspicious"},{"name":"Kāla","start":"12:09","end":"13:38","startHours":12.146494060603196,"endHours":13.641280825302655,"quality":"inauspicious"},{"name":"Śubha","start":"13:38","end":"15:08","startHours":13.641280825302655,"endHours":15.13606759000211,"quality":"auspicious"},{"name":"Roga","start":"15:08","end":"16:38","startHours":15.13606759000211,"endHours":16.63085435470157,"quality":"inauspicious"},{"name":"Udveg","start":"16:38","end":"18:08","startHours":16.63085435470157,"endHours":18.125641119401024,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:08","end":"19:38","startHours":18.125641119401024,"endHours":19.63085435470157,"quality":"auspicious"},{"name":"Roga","start":"19:38","end":"21:08","startHours":19.63085435470157,"endHours":21.13606759000211,"quality":"inauspicious"},{"name":"Udveg","start":"21:08","end":"22:38","startHours":21.13606759000211,"endHours":22.641280825302655,"quality":"inauspicious"},{"name":"Chala","start":"22:38","end":"00:09","startHours":22.641280825302655,"endHours":24.146494060603196,"quality":"neutral"},{"name":"Labha","start":"00:09","end":"01:39","startHours":24.146494060603196,"endHours":25.65170729590374,"quality":"auspicious"},{"name":"Amṛta","start":"01:39","end":"03:09","startHours":25.65170729590374,"endHours":27.156920531204285,"quality":"auspicious"},{"name":"Kāla","start":"03:09","end":"04:40","startHours":27.156920531204285,"endHours":28.662133766504827,"quality":"inauspicious"},{"name":"Śubha","start":"04:40","end":"06:10","startHours":28.662133766504827,"endHours":30.167347001805368,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:10","end":"07:10","startHours":6.1673470018053695,"endHours":7.1673470018053695,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:10","end":"08:10","startHours":7.1673470018053695,"endHours":8.16734700180537,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:10","end":"09:10","startHours":8.16734700180537,"endHours":9.16734700180537,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:10","end":"10:10","startHours":9.16734700180537,"endHours":10.16734700180537,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:10","end":"11:10","startHours":10.16734700180537,"endHours":11.16734700180537,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:10","end":"12:10","startHours":11.16734700180537,"endHours":12.16734700180537,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:10","end":"13:10","startHours":12.16734700180537,"endHours":13.16734700180537,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:10","end":"14:10","startHours":13.16734700180537,"endHours":14.16734700180537,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:10","end":"15:10","startHours":14.16734700180537,"endHours":15.16734700180537,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:10","end":"16:10","startHours":15.16734700180537,"endHours":16.167347001805368,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:10","end":"17:10","startHours":16.167347001805368,"endHours":17.167347001805368,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:10","end":"18:10","startHours":17.167347001805368,"endHours":18.167347001805368,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:10","end":"19:10","startHours":18.167347001805368,"endHours":19.167347001805368,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:10","end":"20:10","startHours":19.167347001805368,"endHours":20.167347001805368,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:10","end":"21:10","startHours":20.167347001805368,"endHours":21.167347001805368,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:10","end":"22:10","startHours":21.167347001805368,"endHours":22.167347001805368,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:10","end":"23:10","startHours":22.167347001805368,"endHours":23.167347001805368,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:10","end":"00:10","startHours":23.167347001805368,"endHours":24.167347001805368,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:10","end":"01:10","startHours":24.167347001805368,"endHours":25.167347001805368,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:10","end":"02:10","startHours":25.167347001805368,"endHours":26.167347001805368,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:10","end":"03:10","startHours":26.167347001805368,"endHours":27.167347001805368,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:10","end":"04:10","startHours":27.167347001805368,"endHours":28.167347001805368,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:10","end":"05:10","startHours":28.167347001805368,"endHours":29.167347001805368,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:10","end":"06:10","startHours":29.167347001805368,"endHours":30.167347001805368,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"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":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-2.4056487542584306,"eotMinutes":10.515556363808276,"ayanamsa":24.9111}},"calendars":{"vikram_samvat":2132,"vikram_samvatsara":"Kīlaka","saka_samvat":1997,"saka_samvatsara":"Manmatha","bengali_samvat":1482,"malayalam_era":1251,"nanakshahi_year":606,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Pañcamī · Vikram 2132 Kīlaka · Śaka 1997 Manmatha"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"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 September 29, 2075 CE · Mathurā · Vidhyamitra","description":"September 29, 2075 CE for Mathurā: Kṛṣṇa Pañcamī, sūryodaya 06:10, sūryāsta 18:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2075-09-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2075-09-29","sa":"https://sa.vidhyamitra.com/city/mathura/2075-09-29","hi":"https://hi.vidhyamitra.com/city/mathura/2075-09-29","x-default":"https://vidhyamitra.com/city/mathura/2075-09-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:46:53.354Z","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":"2026-05-14T15:46:53.354Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:46:53.354Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}