{"id":"vidhyamitra:city-day:melbourne:2159-09-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/melbourne/2159-09-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-09-15","date_display":"September 15, 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":9,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509875.770833,"kali_year":5261,"ahargana":1921410.2708,"sun":{"sidereal_longitude":144.8681,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":184.6085,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":39.7404,"elapsed_within_tithi_degrees":3.7404},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":184.6085,"elapsed_within_degrees":11.2752},"yoga":{"number":25,"name":"Brahma","sum_longitude":329.4766},"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":2159,"month":9,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509875.770833,"ahargana":1921410.2708,"kali_year":5261,"ayanamsa_lahiri":26.0839,"grahas":{"sun":{"sidereal_longitude":145.977146,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":184.49714599999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":-4.2235},"mars":{"sidereal_longitude":249.118246,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":170.24994600000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":169.83214599999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"venus":{"sidereal_longitude":97.74314600000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":179.12484599999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":254.4374,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":74.4374,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2159,"month":9,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509875.770833,"kali_year":5261,"ahargana":1921410.2708,"sun":{"sidereal_longitude":144.8681,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":184.6085,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":39.7404,"elapsed_within_tithi_degrees":3.7404},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":184.6085,"elapsed_within_degrees":11.2752},"yoga":{"number":25,"name":"Brahma","sum_longitude":329.4766},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.223,"elongation":39.74},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.223,"opposition_distance":140.26}},"eclipse_window_40days":[]},"city":{"slug":"melbourne","name":"Melbourne, Australia","lat":-37.8136,"lon":144.9631,"tz_offset_hours":10,"country":"AU","tier":"diaspora"},"tier2":{"city":{"slug":"melbourne","name":"Melbourne, Australia","lat":-37.8136,"lon":144.9631,"tz_offset_hours":10,"country":"AU","tier":"diaspora"},"sunriseLocal":"06:20","sunsetLocal":"18:09","solarNoonLocal":"12:15","dayLengthHours":11.814601021402266,"dayLengthDisplay":"11 Hours 48 Mins 53 Secs","nightLengthDisplay":"12 Hours 11 Mins 07 Secs","moonriseLocal":"08:09","moonsetLocal":"21:29","rahuKala":{"name":"Rāhu Kāla","start":"09:17","end":"10:46","startHours":9.290531858259394,"endHours":10.767356985934676,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:43","end":"15:12","startHours":13.721007241285243,"endHours":15.197832368960526,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:20","end":"07:49","startHours":6.336881602908827,"endHours":7.81370673058411,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:06","end":"09:29","startHours":9.093621841236022,"endHours":9.487441875282764,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:50","end":"07:09","startHours":6.829156645467255,"endHours":7.144212672704649,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:38","startHours":11.850362079563219,"endHours":12.638002147656703,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:46","end":"05:33","startHours":4.761601466721858,"endHours":5.5492415348153425,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:21","end":"06:20","startHours":5.3523315177919715,"endHours":6.336881602908827,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"15:00","startHours":14.213282283843672,"endHours":15.000922351937156,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:57","end":"18:21","startHours":17.951482624311094,"endHours":18.351482624311092,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:09","end":"18:39","startHours":18.151482624311093,"endHours":18.643757666869522,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:54","end":"19:39","startHours":17.901482624311093,"endHours":19.651482624311093,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:38","startHours":23.850362079563215,"endHours":24.638002147656703,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:20","end":"07:49","startHours":6.336881602908827,"endHours":7.81370673058411,"quality":"inauspicious"},{"name":"Śubha","start":"07:49","end":"09:17","startHours":7.81370673058411,"endHours":9.290531858259394,"quality":"auspicious"},{"name":"Roga","start":"09:17","end":"10:46","startHours":9.290531858259394,"endHours":10.767356985934676,"quality":"inauspicious"},{"name":"Udveg","start":"10:46","end":"12:15","startHours":10.767356985934676,"endHours":12.24418211360996,"quality":"inauspicious"},{"name":"Chala","start":"12:15","end":"13:43","startHours":12.24418211360996,"endHours":13.721007241285243,"quality":"neutral"},{"name":"Labha","start":"13:43","end":"15:12","startHours":13.721007241285243,"endHours":15.197832368960526,"quality":"auspicious"},{"name":"Amṛta","start":"15:12","end":"16:40","startHours":15.197832368960526,"endHours":16.67465749663581,"quality":"auspicious"},{"name":"Kāla","start":"16:40","end":"18:09","startHours":16.67465749663581,"endHours":18.151482624311093,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:09","end":"19:40","startHours":18.151482624311093,"endHours":19.67465749663581,"quality":"auspicious"},{"name":"Amṛta","start":"19:40","end":"21:12","startHours":19.67465749663581,"endHours":21.197832368960526,"quality":"auspicious"},{"name":"Kāla","start":"21:12","end":"22:43","startHours":21.197832368960526,"endHours":22.721007241285243,"quality":"inauspicious"},{"name":"Śubha","start":"22:43","end":"00:15","startHours":22.721007241285243,"endHours":24.24418211360996,"quality":"auspicious"},{"name":"Roga","start":"00:15","end":"01:46","startHours":24.24418211360996,"endHours":25.767356985934676,"quality":"inauspicious"},{"name":"Udveg","start":"01:46","end":"03:17","startHours":25.767356985934676,"endHours":27.290531858259392,"quality":"inauspicious"},{"name":"Chala","start":"03:17","end":"04:49","startHours":27.290531858259392,"endHours":28.81370673058411,"quality":"neutral"},{"name":"Labha","start":"04:49","end":"06:20","startHours":28.81370673058411,"endHours":30.336881602908825,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:20","end":"07:20","startHours":6.336881602908827,"endHours":7.336881602908827,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:20","end":"08:20","startHours":7.336881602908827,"endHours":8.336881602908827,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:20","end":"09:20","startHours":8.336881602908827,"endHours":9.336881602908827,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:20","end":"10:20","startHours":9.336881602908827,"endHours":10.336881602908827,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:20","end":"11:20","startHours":10.336881602908827,"endHours":11.336881602908827,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:20","end":"12:20","startHours":11.336881602908827,"endHours":12.336881602908827,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:20","end":"13:20","startHours":12.336881602908827,"endHours":13.336881602908827,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:20","end":"14:20","startHours":13.336881602908827,"endHours":14.336881602908827,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:20","end":"15:20","startHours":14.336881602908827,"endHours":15.336881602908827,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:20","end":"16:20","startHours":15.336881602908827,"endHours":16.336881602908825,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:20","end":"17:20","startHours":16.336881602908825,"endHours":17.336881602908825,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:20","end":"18:20","startHours":17.336881602908825,"endHours":18.336881602908825,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:20","end":"19:20","startHours":18.336881602908825,"endHours":19.336881602908825,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:20","end":"20:20","startHours":19.336881602908825,"endHours":20.336881602908825,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:20","end":"21:20","startHours":20.336881602908825,"endHours":21.336881602908825,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:20","end":"22:20","startHours":21.336881602908825,"endHours":22.336881602908825,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:20","end":"23:20","startHours":22.336881602908825,"endHours":23.336881602908825,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:20","end":"00:20","startHours":23.336881602908825,"endHours":24.336881602908825,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:20","end":"01:20","startHours":24.336881602908825,"endHours":25.336881602908825,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:20","end":"02:20","startHours":25.336881602908825,"endHours":26.336881602908825,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:20","end":"03:20","startHours":26.336881602908825,"endHours":27.336881602908825,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:20","end":"04:20","startHours":27.336881602908825,"endHours":28.336881602908825,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:20","end":"05:20","startHours":28.336881602908825,"endHours":29.336881602908825,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:20","end":"06:20","startHours":29.336881602908825,"endHours":30.336881602908825,"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":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":3.1490708207368856,"eotMinutes":5.496673183402374,"ayanamsa":26.0839}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Caturthī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[{"id":"ganesha-chaturthi","name":"Gaṇeśa Caturthī","name_sanskrit":"गणेश चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Gaṇeśa's birth day; 11-day festival in Maharashtra.","vrata":false,"detection":{"tithi_number":4,"tithi_paksha":"Śukla","lunar_month":"Bhādrapada"},"precedence":1},{"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":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"melbourne"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga September 15, 2159 CE · Melbourne, Australia · Vidhyamitra","description":"September 15, 2159 CE for Melbourne, Australia: Śukla Caturthī, sūryodaya 06:20, sūryāsta 18:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/melbourne/2159-09-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/melbourne/2159-09-15","sa":"https://sa.vidhyamitra.com/city/melbourne/2159-09-15","hi":"https://hi.vidhyamitra.com/city/melbourne/2159-09-15","x-default":"https://vidhyamitra.com/city/melbourne/2159-09-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T18:23:37.845Z","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":"2026-06-02T18:23:37.845Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T18:23:37.845Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}