{"id":"vidhyamitra:city-day:melbourne:2159-10-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/melbourne/2159-10-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-10-30","date_display":"October 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":10,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509920.770833,"kali_year":5261,"ahargana":1921455.2708,"sun":{"sidereal_longitude":189.2216,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":47.2857,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.0641,"elapsed_within_tithi_degrees":2.0641},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":47.2857,"elapsed_within_degrees":7.2857},"yoga":{"number":18,"name":"Varīyān","sum_longitude":236.5073},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":10,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509920.770833,"ahargana":1921455.2708,"kali_year":5261,"ayanamsa_lahiri":26.0857,"grahas":{"sun":{"sidereal_longitude":190.30922699999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":50.466027,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false,"latitude":1.8836},"mars":{"sidereal_longitude":276.15982699999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":169.81522700000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":179.497927,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":146.74822699999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":184.38262699999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":252.0531,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":72.0531,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2159,"month":10,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509920.770833,"kali_year":5261,"ahargana":1921455.2708,"sun":{"sidereal_longitude":189.2216,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":47.2857,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.0641,"elapsed_within_tithi_degrees":2.0641},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":47.2857,"elapsed_within_degrees":7.2857},"yoga":{"number":18,"name":"Varīyān","sum_longitude":236.5073},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.884,"elongation":141.936},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.884,"opposition_distance":38.064}},"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":"05:16","sunsetLocal":"18:52","solarNoonLocal":"12:04","dayLengthHours":13.596049271347042,"dayLengthDisplay":"13 Hours 35 Mins 46 Secs","nightLengthDisplay":"10 Hours 24 Mins 14 Secs","moonriseLocal":"21:57","moonsetLocal":"07:32","rahuKala":{"name":"Rāhu Kāla","start":"15:28","end":"17:10","startHours":15.460642086682327,"endHours":17.16014824560071,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:40","end":"10:22","startHours":8.662617451008806,"endHours":10.362123609927188,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:04","end":"13:46","startHours":12.061629768845567,"endHours":13.761135927763949,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:26","end":"08:53","startHours":8.43601662981969,"endHours":8.889218272197924,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:50","end":"06:12","startHours":5.83010718614484,"endHours":6.192668500047428,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:31","startHours":11.608428126467333,"endHours":12.5148314112238,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:27","end":"04:21","startHours":3.4507985636591076,"endHours":4.357201848415578,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:08","end":"05:16","startHours":4.13060102722646,"endHours":5.263605133172047,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:20","end":"15:14","startHours":14.327637980736743,"endHours":15.234041265493213,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:40","end":"19:04","startHours":18.659654404519088,"endHours":19.059654404519087,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:52","end":"19:26","startHours":18.859654404519087,"endHours":19.42615645749188,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:37","end":"20:22","startHours":18.609654404519087,"endHours":20.359654404519087,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:31","startHours":23.60842812646733,"endHours":24.514831411223803,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:16","end":"06:58","startHours":5.263605133172047,"endHours":6.963111292090427,"quality":"inauspicious"},{"name":"Udveg","start":"06:58","end":"08:40","startHours":6.963111292090427,"endHours":8.662617451008806,"quality":"inauspicious"},{"name":"Chala","start":"08:40","end":"10:22","startHours":8.662617451008806,"endHours":10.362123609927188,"quality":"neutral"},{"name":"Labha","start":"10:22","end":"12:04","startHours":10.362123609927188,"endHours":12.061629768845567,"quality":"auspicious"},{"name":"Amṛta","start":"12:04","end":"13:46","startHours":12.061629768845567,"endHours":13.761135927763949,"quality":"auspicious"},{"name":"Kāla","start":"13:46","end":"15:28","startHours":13.761135927763949,"endHours":15.460642086682327,"quality":"inauspicious"},{"name":"Śubha","start":"15:28","end":"17:10","startHours":15.460642086682327,"endHours":17.16014824560071,"quality":"auspicious"},{"name":"Roga","start":"17:10","end":"18:52","startHours":17.16014824560071,"endHours":18.859654404519087,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:52","end":"20:10","startHours":18.859654404519087,"endHours":20.16014824560071,"quality":"inauspicious"},{"name":"Śubha","start":"20:10","end":"21:28","startHours":20.16014824560071,"endHours":21.460642086682327,"quality":"auspicious"},{"name":"Roga","start":"21:28","end":"22:46","startHours":21.460642086682327,"endHours":22.761135927763945,"quality":"inauspicious"},{"name":"Udveg","start":"22:46","end":"00:04","startHours":22.761135927763945,"endHours":24.061629768845567,"quality":"inauspicious"},{"name":"Chala","start":"00:04","end":"01:22","startHours":24.061629768845567,"endHours":25.36212360992719,"quality":"neutral"},{"name":"Labha","start":"01:22","end":"02:40","startHours":25.36212360992719,"endHours":26.662617451008806,"quality":"auspicious"},{"name":"Amṛta","start":"02:40","end":"03:58","startHours":26.662617451008806,"endHours":27.963111292090424,"quality":"auspicious"},{"name":"Kāla","start":"03:58","end":"05:16","startHours":27.963111292090424,"endHours":29.263605133172046,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:16","end":"06:16","startHours":5.263605133172047,"endHours":6.263605133172047,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:16","end":"07:16","startHours":6.263605133172047,"endHours":7.263605133172047,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:16","end":"08:16","startHours":7.263605133172047,"endHours":8.263605133172046,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:16","end":"09:16","startHours":8.263605133172046,"endHours":9.263605133172046,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:16","end":"10:16","startHours":9.263605133172046,"endHours":10.263605133172046,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:16","end":"11:16","startHours":10.263605133172046,"endHours":11.263605133172046,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:16","end":"12:16","startHours":11.263605133172046,"endHours":12.263605133172046,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:16","end":"13:16","startHours":12.263605133172046,"endHours":13.263605133172046,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:16","end":"14:16","startHours":13.263605133172046,"endHours":14.263605133172046,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:16","end":"15:16","startHours":14.263605133172046,"endHours":15.263605133172046,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:16","end":"16:16","startHours":15.263605133172046,"endHours":16.263605133172046,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:16","end":"17:16","startHours":16.263605133172046,"endHours":17.263605133172046,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:16","end":"18:16","startHours":17.263605133172046,"endHours":18.263605133172046,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:16","end":"19:16","startHours":18.263605133172046,"endHours":19.263605133172046,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:16","end":"20:16","startHours":19.263605133172046,"endHours":20.263605133172046,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:16","end":"21:16","startHours":20.263605133172046,"endHours":21.263605133172046,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:16","end":"22:16","startHours":21.263605133172046,"endHours":22.263605133172046,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:16","end":"23:16","startHours":22.263605133172046,"endHours":23.263605133172046,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:16","end":"00:16","startHours":23.263605133172046,"endHours":24.263605133172046,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:16","end":"01:16","startHours":24.263605133172046,"endHours":25.263605133172046,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:16","end":"02:16","startHours":25.263605133172046,"endHours":26.263605133172046,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:16","end":"03:16","startHours":26.263605133172046,"endHours":27.263605133172046,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:16","end":"04:16","startHours":27.263605133172046,"endHours":28.263605133172046,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:16","end":"05:16","startHours":28.263605133172046,"endHours":29.263605133172046,"planetary_lord":"Saturn"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-13.650199831381789,"eotMinutes":16.449813869265995,"ayanamsa":26.0857}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Caturthī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[{"id":"karva-chauth","name":"Karvā Chauth","name_sanskrit":"करवा चौथ","tradition":"Pan-Hindu","associated_deity":"Pārvatī + Gaṇeśa + Chandra","significance":"North Indian wives' fast for husband's longevity. Kṛṣṇa Caturthī of Kārtika.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa","lunar_month":"Kārtika"},"precedence":2},{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5}]},"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 October 30, 2159 CE · Melbourne, Australia · Vidhyamitra","description":"October 30, 2159 CE for Melbourne, Australia: Kṛṣṇa Caturthī, sūryodaya 05:16, sūryāsta 18:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/melbourne/2159-10-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/melbourne/2159-10-30","sa":"https://sa.vidhyamitra.com/city/melbourne/2159-10-30","hi":"https://hi.vidhyamitra.com/city/melbourne/2159-10-30","x-default":"https://vidhyamitra.com/city/melbourne/2159-10-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T12:05:36.873Z","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":"2026-06-02T12:05:36.873Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T12:05:36.873Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}